Pith Number

pith:Q7EV5SCI

pith:2014:Q7EV5SCIEKTFQ3GFAZNPU2MLLW

not attested not anchored not stored refs pending

Transitive graphs uniquely determined by their local structure

Joshua Frisch, Omer Tamuz

arxiv:1411.6534 v1 · 2014-11-24 · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q7EV5SCIEKTFQ3GFAZNPU2MLLW}

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	2026-05-18T01:18:52.856891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87c95ec84822a6586cc5065afa698b5da1ce81cb9d1f323dd62e0535565f4215

Aliases

arxiv: 1411.6534 · arxiv_version: 1411.6534v1 · doi: 10.48550/arxiv.1411.6534 · pith_short_12: Q7EV5SCIEKTF · pith_short_16: Q7EV5SCIEKTFQ3GF · pith_short_8: Q7EV5SCI

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/Q7EV5SCIEKTFQ3GFAZNPU2MLLW \
  | 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: 87c95ec84822a6586cc5065afa698b5da1ce81cb9d1f323dd62e0535565f4215

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "291fa78b4fd931b504dbb27705a6545c0cb95143598aa59f8f4bd799b14481a6",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-11-24T17:06:01Z",
    "title_canon_sha256": "668b3310efcb4098523f219b149ebb14ec17ec7ba0216e5542696087f1374c21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6534",
    "kind": "arxiv",
    "version": 1
  }
}