Pith Number

pith:OTAL3ZI3

pith:2021:OTAL3ZI3SA6CSOAPCQG747A3JK

not attested not anchored not stored refs pending

A universal state sum

Kevin Walker

arxiv:2104.02101 v1 · 2021-04-05 · math.QA · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OTAL3ZI3SA6CSOAPCQG747A3JK}

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.

Cited by

2 papers in Pith

ICTP Lectures on (Non-)Invertible Generalized Symmetries

Crystalline topological invariants in quantum many-body systems

Receipt and verification

First computed	2026-07-05T02:29:13.776845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74c0bde51b903c29380f140dfe7c1b4a9686b14a501ebb207134841c7141008d

Aliases

arxiv: 2104.02101 · arxiv_version: 2104.02101v1 · doi: 10.48550/arxiv.2104.02101 · pith_short_12: OTAL3ZI3SA6C · pith_short_16: OTAL3ZI3SA6CSOAP · pith_short_8: OTAL3ZI3

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/OTAL3ZI3SA6CSOAPCQG747A3JK \
  | 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: 74c0bde51b903c29380f140dfe7c1b4a9686b14a501ebb207134841c7141008d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4682161b2f7bb9f8f1df6b1f92db02c95360f9bd2227650442268aee01c0a6cf",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2021-04-05T18:10:53Z",
    "title_canon_sha256": "b1fed44fd76a678e43e5f67799cfa306dbd26687fd082464d7c9bb9e827536bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.02101",
    "kind": "arxiv",
    "version": 1
  }
}