Pith Number

pith:ICLGJDSS

pith:2013:ICLGJDSSPMGRJT5YTAFVJOX36D

not attested not anchored not stored refs pending

Twins in graphs

Maria Axenovich, Ryan R. Martin, Torsten Ueckerdt

arxiv:1303.5626 v1 · 2013-03-22 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ICLGJDSSPMGRJT5YTAFVJOX36D}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:52:42.135832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4096648e527b0d14cfb8980b54bafbf0cb5c7f941707333586b23657a8ed2562

Aliases

arxiv: 1303.5626 · arxiv_version: 1303.5626v1 · doi: 10.48550/arxiv.1303.5626 · pith_short_12: ICLGJDSSPMGR · pith_short_16: ICLGJDSSPMGRJT5Y · pith_short_8: ICLGJDSS

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/ICLGJDSSPMGRJT5YTAFVJOX36D \
  | 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: 4096648e527b0d14cfb8980b54bafbf0cb5c7f941707333586b23657a8ed2562

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1ba9109eab5d250f31869916df9384732b9efe8fcd0efe7258bb7958931da62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-22T14:27:27Z",
    "title_canon_sha256": "c9630d2ffd75110efcc2a7ce7f08e643b4f2020f17428542126fd217196beb8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5626",
    "kind": "arxiv",
    "version": 1
  }
}