Pith Number

pith:T5C3OLUQ

pith:2014:T5C3OLUQD2QIGMWVUMYPX6N7CN

not attested not anchored not stored refs pending

Graph invariants from ideas in physics and number theory

An Huang, Mei-Heng Yueh, Shing-Tung Yau

arxiv:1409.5853 v3 · 2014-09-20 · 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{T5C3OLUQD2QIGMWVUMYPX6N7CN}

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	2026-05-18T01:46:14.047240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f45b72e901ea08332d5a330fbf9bf137122cdb8750a7a9a8d9a1cf3cfbc4039

Aliases

arxiv: 1409.5853 · arxiv_version: 1409.5853v3 · doi: 10.48550/arxiv.1409.5853 · pith_short_12: T5C3OLUQD2QI · pith_short_16: T5C3OLUQD2QIGMWV · pith_short_8: T5C3OLUQ

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/T5C3OLUQD2QIGMWVUMYPX6N7CN \
  | 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: 9f45b72e901ea08332d5a330fbf9bf137122cdb8750a7a9a8d9a1cf3cfbc4039

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fd6469ea99006283ee3ff1b78e859b5e46fda974650c87c71520c3090458344",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-20T03:47:23Z",
    "title_canon_sha256": "f117cb78aa9b211a08f2d24f155623afd0a787cf9a446c1acb6ded032185fb8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5853",
    "kind": "arxiv",
    "version": 3
  }
}