Pith Number

pith:ET5RLDLG

pith:2012:ET5RLDLGZ3KGFSYPBH7WET6RY6

not attested not anchored not stored refs pending

Line graphs and $2$-geodesic transitivity

Alice Devillers, Cai Heng Li, Cheryl E. Praeger, Wei Jin

arxiv:1201.4297 v1 · 2012-01-20 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ET5RLDLGZ3KGFSYPBH7WET6RY6}

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	2026-05-18T04:04:07.481324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24fb158d66ced462cb0f09ff624fd1c7a52ba0f853cf58f2886c832d3686a03c

Aliases

arxiv: 1201.4297 · arxiv_version: 1201.4297v1 · doi: 10.48550/arxiv.1201.4297 · pith_short_12: ET5RLDLGZ3KG · pith_short_16: ET5RLDLGZ3KGFSYP · pith_short_8: ET5RLDLG

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/ET5RLDLGZ3KGFSYPBH7WET6RY6 \
  | 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: 24fb158d66ced462cb0f09ff624fd1c7a52ba0f853cf58f2886c832d3686a03c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "281bfaf21e82772ff8aa110d833b618565a03dd14cea00bdc2ab445eb76dd0df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-20T14:04:53Z",
    "title_canon_sha256": "97e85eb32900f1fe39e91bde79d7904ce6ed540495be35baa3176eea8f8c4015"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4297",
    "kind": "arxiv",
    "version": 1
  }
}