Pith Number

pith:H3CBSVLP

pith:2015:H3CBSVLP7TQPCULFD55B2NHA7R

not attested not anchored not stored refs pending

Realizability problem for commuting graphs

Bojan Kuzma, Michael Giudici

arxiv:1505.05397 v1 · 2015-05-20 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H3CBSVLP7TQPCULFD55B2NHA7R}

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	2026-05-18T01:14:45.371244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ec419556ffce0f151651f7a1d34e0fc54663ad864863690940afd75f3c99783

Aliases

arxiv: 1505.05397 · arxiv_version: 1505.05397v1 · doi: 10.48550/arxiv.1505.05397 · pith_short_12: H3CBSVLP7TQP · pith_short_16: H3CBSVLP7TQPCULF · pith_short_8: H3CBSVLP

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/H3CBSVLP7TQPCULFD55B2NHA7R \
  | 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: 3ec419556ffce0f151651f7a1d34e0fc54663ad864863690940afd75f3c99783

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "358a3137cee0802b6b53dfaad8285c4b9c11a4df322a16f0aa20862f28c4135b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-05-20T14:30:37Z",
    "title_canon_sha256": "d1c112610dea45aa7ecb9c12648499642877a3cc44bb8d8710eb036c21b08408"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05397",
    "kind": "arxiv",
    "version": 1
  }
}