Pith Number

pith:ZPE6CA37

pith:2025:ZPE6CA37C5RWLD5Q3V6WN5OESU

not attested not anchored not stored refs pending

Taut fillings

Matthew Ellison, Peter Doyle, Zili Wang

arxiv:2505.09736 v3 · 2025-05-14 · math.GT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPE6CA37C5RWLD5Q3V6WN5OESU}

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.

Receipt and verification

First computed	2026-07-13T01:20:01.862048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbc9e1037f1763658fb0dd7d66f5c49534dd2b794f424fd81dae691b631a8f81

Aliases

arxiv: 2505.09736 · arxiv_version: 2505.09736v3 · doi: 10.48550/arxiv.2505.09736 · pith_short_12: ZPE6CA37C5RW · pith_short_16: ZPE6CA37C5RWLD5Q · pith_short_8: ZPE6CA37

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/ZPE6CA37C5RWLD5Q3V6WN5OESU \
  | 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: cbc9e1037f1763658fb0dd7d66f5c49534dd2b794f424fd81dae691b631a8f81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6baf2fca8972be0eaa867b6d3a8fa5e5b8e6947a4ff7067db6fabbc2845ef328",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-05-14T18:54:34Z",
    "title_canon_sha256": "392b4e9053d84bb0c49779770e5df3d5828195d8a880987eff659b922f1fceae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.09736",
    "kind": "arxiv",
    "version": 3
  }
}