Pith Number

pith:X3HTVTR6

pith:2019:X3HTVTR6Y3BPHEKFNKAKJH6ADR

not attested not anchored not stored refs pending

Dehn-Sommerville from Gauss-Bonnet

Oliver Knill

arxiv:1905.04831 v1 · 2019-05-13 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X3HTVTR6Y3BPHEKFNKAKJH6ADR}

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

2 papers in Pith

The energy of a simplicial complex

The counting matrix of a simplicial complex

Receipt and verification

First computed	2026-05-17T23:46:23.356981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

becf3ace3ec6c2f391456a80a49fc01c63ea2d671986a813a816b195d312beda

Aliases

arxiv: 1905.04831 · arxiv_version: 1905.04831v1 · doi: 10.48550/arxiv.1905.04831 · pith_short_12: X3HTVTR6Y3BP · pith_short_16: X3HTVTR6Y3BPHEKF · pith_short_8: X3HTVTR6

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/X3HTVTR6Y3BPHEKFNKAKJH6ADR \
  | 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: becf3ace3ec6c2f391456a80a49fc01c63ea2d671986a813a816b195d312beda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9b927fe1eae46a088e13aedf59443242734d922afbafc58597aec79c6f041bb",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-13T02:18:03Z",
    "title_canon_sha256": "56c971e98aa2dd77d6a1b036079d7900b4d2346dbb90ebe269f4c856b24d83b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.04831",
    "kind": "arxiv",
    "version": 1
  }
}