Pith Number

pith:K2PM5CL5

pith:2013:K2PM5CL5DMVWRAINIROPHJDHNQ

not attested not anchored not stored refs pending

Bounding Helly numbers via Betti numbers

Martin Tancer, Pavel Pat\'ak, Uli Wagner, Xavier Goaoc, Zuzana Pat\'akov\'a

arxiv:1310.4613 v3 · 2013-10-17 · math.CO · cs.CG · cs.DM · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K2PM5CL5DMVWRAINIROPHJDHNQ}

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	2026-05-18T00:59:42.498693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

569ece897d1b2b68810d445cf3a4676c2f254108b8753acd499cccbdc1687a95

Aliases

arxiv: 1310.4613 · arxiv_version: 1310.4613v3 · doi: 10.48550/arxiv.1310.4613 · pith_short_12: K2PM5CL5DMVW · pith_short_16: K2PM5CL5DMVWRAIN · pith_short_8: K2PM5CL5

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/K2PM5CL5DMVWRAINIROPHJDHNQ \
  | 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: 569ece897d1b2b68810d445cf3a4676c2f254108b8753acd499cccbdc1687a95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb46c5b8ed05fa592c2121ef2b51949d5840eacd5a78ed25835e3503e246f1c0",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DM",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-17T08:23:28Z",
    "title_canon_sha256": "14b4eba2758353f1bd8e68d45ee495f491f4efbdb0c07cbc0912860204e74f94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4613",
    "kind": "arxiv",
    "version": 3
  }
}