Pith Number

pith:JJXCYAPW

pith:2011:JJXCYAPWOJWDCB2VVYWYFWS7MD

not attested not anchored not stored refs pending

Small separations in vertex transitive graphs

Bojan Mohar, Matt DeVos

arxiv:1110.4885 v1 · 2011-10-21 · math.CO · 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{JJXCYAPWOJWDCB2VVYWYFWS7MD}

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	2026-05-18T04:10:34.802452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a6e2c01f6726c310755ae2d82da5f60eab5464b3c17fc529ad96f31a7260ee0

Aliases

arxiv: 1110.4885 · arxiv_version: 1110.4885v1 · doi: 10.48550/arxiv.1110.4885 · pith_short_12: JJXCYAPWOJWD · pith_short_16: JJXCYAPWOJWDCB2V · pith_short_8: JJXCYAPW

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/JJXCYAPWOJWDCB2VVYWYFWS7MD \
  | 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: 4a6e2c01f6726c310755ae2d82da5f60eab5464b3c17fc529ad96f31a7260ee0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c91c3d820443724499fe31ced394e7f5d7e13b5e8679ab2b4375a547e5c7250",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-21T19:54:13Z",
    "title_canon_sha256": "e6bb1c141abcbcc844e7bfc9a4b0a5bf814ba7837ad99ac68d899f562077fd53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4885",
    "kind": "arxiv",
    "version": 1
  }
}