Pith Number

pith:2E33RKZY

pith:2016:2E33RKZYL3LKHM4WXF7ON5RFDR

not attested not anchored not stored refs pending

The circular altitude of a graph

Alice Devillers, Brian Corr, Daniel Hawtin, Eric Swartz, Irene Pivotto, John Bamberg

arxiv:1608.06127 v1 · 2016-08-22 · 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{2E33RKZYL3LKHM4WXF7ON5RFDR}

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	2026-05-18T01:08:22.191295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d137b8ab385ed6a3b396b97ee6f6251c7dd206c0d4e1018eefe62ef6111641e1

Aliases

arxiv: 1608.06127 · arxiv_version: 1608.06127v1 · doi: 10.48550/arxiv.1608.06127 · pith_short_12: 2E33RKZYL3LK · pith_short_16: 2E33RKZYL3LKHM4W · pith_short_8: 2E33RKZY

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/2E33RKZYL3LKHM4WXF7ON5RFDR \
  | 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: d137b8ab385ed6a3b396b97ee6f6251c7dd206c0d4e1018eefe62ef6111641e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eed63ee0943a588248ae5e9522633df5161953321d2d073effda808d27ce44c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-22T11:30:13Z",
    "title_canon_sha256": "359a6b5f18785803c528ac4f3b79fb2a65dba38444edb570ee2b6f9c76f16960"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06127",
    "kind": "arxiv",
    "version": 1
  }
}