Pith Number

pith:VVFZHBAW

pith:2025:VVFZHBAWNUKJ3KC3Y2DWS34F7X

not attested not anchored not stored refs pending

Sheaf theory: from deep geometry to deep learning

Anton Ayzenberg, German Magai, Grigory Solomadin, Thomas Gebhart

arxiv:2502.15476 v1 · 2025-02-21 · math.AT · cs.CG · cs.LG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VVFZHBAWNUKJ3KC3Y2DWS34F7X}

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

8 papers in Pith

The Sheaf Laplacian: A Topological Framework for Data Fusion and Consensus in Distributed Sensing Networks

SheafStain: Sheaf-Theoretic Schr\"odinger Bridge for Spatially and Biologically Coherent Virtual Staining

Bayesian updates from coalgebraic determinisation

Fixed-Point Scaffolding in the Clef Programming Language

Copositive Matrices with Ordered Off-Diagonal Entries

Receipt and verification

First computed	2026-07-05T10:18:02.431172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad4b9384166d149da85bc687696f85fde6031f110f2e0f8a98389ce2b0882dc6

Aliases

arxiv: 2502.15476 · arxiv_version: 2502.15476v1 · doi: 10.48550/arxiv.2502.15476 · pith_short_12: VVFZHBAWNUKJ · pith_short_16: VVFZHBAWNUKJ3KC3 · pith_short_8: VVFZHBAW

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/VVFZHBAWNUKJ3KC3Y2DWS34F7X \
  | 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: ad4b9384166d149da85bc687696f85fde6031f110f2e0f8a98389ce2b0882dc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "024ad961efcc6bf48a1ec4c7c9377aaaa5f1d17e34ac81d7ddb21e62a9ab3549",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.LG",
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-02-21T14:00:25Z",
    "title_canon_sha256": "310ce0d84c758764f2739125b4b50daf6cc3f8b83f2ace54def49d9c8e3ee765"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.15476",
    "kind": "arxiv",
    "version": 1
  }
}