Pith Number

pith:K6WWF2F2

pith:2017:K6WWF2F2WZUGCFOKB5LJUUZEQX

not attested not anchored not stored refs pending

Quantum Koszul formula on quantum spacetime

Liam Williams, Shahn Majid

arxiv:1707.01481 v1 · 2017-07-05 · math.QA · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K6WWF2F2WZUGCFOKB5LJUUZEQX}

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	2026-05-18T00:18:19.919934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57ad62e8bab6686115ca0f569a532485d12f862f916adbcbfcf24d97da9992cc

Aliases

arxiv: 1707.01481 · arxiv_version: 1707.01481v1 · doi: 10.48550/arxiv.1707.01481 · pith_short_12: K6WWF2F2WZUG · pith_short_16: K6WWF2F2WZUGCFOK · pith_short_8: K6WWF2F2

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/K6WWF2F2WZUGCFOKB5LJUUZEQX \
  | 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: 57ad62e8bab6686115ca0f569a532485d12f862f916adbcbfcf24d97da9992cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "115fd1cf85770a7a22a2dfd5cfc58b73f5e5d1f2e277a7a2ce671e22f51a985e",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2017-07-05T17:28:34Z",
    "title_canon_sha256": "cbcd530c683c67588439c7103a9b5f9d836c5212bf6e65ba35aded41a47179f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01481",
    "kind": "arxiv",
    "version": 1
  }
}