Pith Number

pith:W53I6UN6

pith:2018:W53I6UN65RYENCJDNXFZ23ARRF

not attested not anchored not stored refs pending

Neural Persistence: A Complexity Measure for Deep Neural Networks Using Algebraic Topology

Bastian Rieck, Christian Bock, Karsten Borgwardt, Matteo Togninalli, Max Horn, Michael Moor, Thomas Gumbsch

arxiv:1812.09764 v3 · 2018-12-23 · cs.LG · math.AT · stat.ML

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W53I6UN65RYENCJDNXFZ23ARRF}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

5 papers in Pith

A Three Axis Evaluation Framework for Mapper Algorithms

Geometric Analysis of Neural Regression Collapse via Intrinsic Dimension

HodgeCover: Higher-Order Topological Coverage Drives Compression of Sparse Mixture-of-Experts

TopoGeoScore: A Self-Supervised Source-Only Geometric Framework for OOD Checkpoint Selection

Motif-based filtrations for persistent homology: A framework for graph isomorphism and property prediction

Receipt and verification

First computed	2026-07-05T00:07:34.969397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7768f51beec704689236dcb9d6c118950e523b067b14d3c436f120f1e336d38

Aliases

arxiv: 1812.09764 · arxiv_version: 1812.09764v3 · doi: 10.48550/arxiv.1812.09764 · pith_short_12: W53I6UN65RYE · pith_short_16: W53I6UN65RYENCJD · pith_short_8: W53I6UN6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/W53I6UN65RYENCJDNXFZ23ARRF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b7768f51beec704689236dcb9d6c118950e523b067b14d3c436f120f1e336d38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf647d7736d85428c3754ee9eb1c5d17f6bff392f56ef03c5cb036b8fd4e7149",
    "cross_cats_sorted": [
      "math.AT",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2018-12-23T19:41:02Z",
    "title_canon_sha256": "1966589f33c40a0384d3dc0f077ce2950fd02a6f1bde5b476aaf5ab079567933"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09764",
    "kind": "arxiv",
    "version": 3
  }
}