Pith Number

pith:MUIOGPOR

pith:2016:MUIOGPORXNAFF7WS5GGRFBESOM

not attested not anchored not stored refs pending

A Note on Pointwise Dimensions

Neil Lutz

arxiv:1612.05849 v2 · 2016-12-18 · cs.CC · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MUIOGPORXNAFF7WS5GGRFBESOM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

1 paper in Pith

Pointwise Generalization in Deep Neural Networks

Receipt and verification

First computed	2026-05-18T00:46:59.205570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6510e33dd1bb4052fed2e98d12849273037b2ceb49b3dcbde3f252d1b278c5ff

Aliases

arxiv: 1612.05849 · arxiv_version: 1612.05849v2 · doi: 10.48550/arxiv.1612.05849 · pith_short_12: MUIOGPORXNAF · pith_short_16: MUIOGPORXNAFF7WS · pith_short_8: MUIOGPOR

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/MUIOGPORXNAFF7WS5GGRFBESOM \
  | 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: 6510e33dd1bb4052fed2e98d12849273037b2ceb49b3dcbde3f252d1b278c5ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c685b0153ff9d4a24405d856fd4882cf1dcda152f3ff68d6300ea255bb0217d1",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-12-18T03:07:35Z",
    "title_canon_sha256": "79869aeb611b8159504c4066eeb82ce384e7afe3dca529690f380d2eb8c0c8c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05849",
    "kind": "arxiv",
    "version": 2
  }
}