Pith Number

pith:MS76GAC7

pith:2024:MS76GAC7P66AQB723DMYPFPIY3

not attested not anchored not stored refs pending

Topological expanders, coarse geometry and thick embeddings of complexes

David Hume

arxiv:2411.13294 v1 · 2024-11-20 · math.MG · math.CO · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MS76GAC7P66AQB723DMYPFPIY3}

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	2026-07-05T09:38:08.163511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64bfe3005f7fbc0807fad8d98795e8c6d798dca73b44792a97c1ea5a358101ff

Aliases

arxiv: 2411.13294 · arxiv_version: 2411.13294v1 · doi: 10.48550/arxiv.2411.13294 · pith_short_12: MS76GAC7P66A · pith_short_16: MS76GAC7P66AQB72 · pith_short_8: MS76GAC7

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/MS76GAC7P66AQB723DMYPFPIY3 \
  | 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: 64bfe3005f7fbc0807fad8d98795e8c6d798dca73b44792a97c1ea5a358101ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e43a48f4eaa07bace2232e6021cb12639317fe48fe60ae3d1144215188ebb30",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR",
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2024-11-20T13:04:54Z",
    "title_canon_sha256": "2d8b1ef33ab0a68f2d0b65efd18e519114aed5ba9a104bf88034499349c4ad0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.13294",
    "kind": "arxiv",
    "version": 1
  }
}