Pith Number

pith:VPUJMQF2

pith:2017:VPUJMQF2MCO7CME3PIBCQSCFFY

not attested not anchored not stored refs pending

On the arithmetic of graphs

Oliver Knill

arxiv:1706.05767 v1 · 2017-06-19 · math.CO · 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{VPUJMQF2MCO7CME3PIBCQSCFFY}

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

1 paper in Pith

The energy of a simplicial complex

Receipt and verification

First computed	2026-05-18T00:42:08.954484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abe89640ba609df1309b7a022848452e135f061dba0725e6271820f25a19dfa1

Aliases

arxiv: 1706.05767 · arxiv_version: 1706.05767v1 · doi: 10.48550/arxiv.1706.05767 · pith_short_12: VPUJMQF2MCO7 · pith_short_16: VPUJMQF2MCO7CME3 · pith_short_8: VPUJMQF2

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/VPUJMQF2MCO7CME3PIBCQSCFFY \
  | 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: abe89640ba609df1309b7a022848452e135f061dba0725e6271820f25a19dfa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d12ddef11882cd4422c99e40bb45d6e7e9c43551d19b89b10ee68167d4585ce6",
    "cross_cats_sorted": [
      "cs.DM",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-19T02:57:21Z",
    "title_canon_sha256": "1224d10f1d2f5f38782a16e9697c90cdedf41565edf67b4997f057f77e5ace67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05767",
    "kind": "arxiv",
    "version": 1
  }
}