Pith Number

pith:6ZOK5QMF

pith:2015:6ZOK5QMFYD5AQXGZ6O73OP4EX7

not attested not anchored not stored refs pending

Spin, statistics, orientations, unitarity

Theo Johnson-Freyd

arxiv:1507.06297 v6 · 2015-07-22 · math-ph · hep-th · math.AG · math.AT · math.CT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6ZOK5QMFYD5AQXGZ6O73OP4EX7}

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	2026-05-18T00:48:10.413659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f65caec185c0fa085cd9f3bfb73f84bfc557c458414882bdec00fcd6d98e0099

Aliases

arxiv: 1507.06297 · arxiv_version: 1507.06297v6 · doi: 10.48550/arxiv.1507.06297 · pith_short_12: 6ZOK5QMFYD5A · pith_short_16: 6ZOK5QMFYD5AQXGZ · pith_short_8: 6ZOK5QMF

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/6ZOK5QMFYD5AQXGZ6O73OP4EX7 \
  | 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: f65caec185c0fa085cd9f3bfb73f84bfc557c458414882bdec00fcd6d98e0099

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "954a1d7c8758c04788d88f0343f3aee9136c34d1245835cd433010d556038bc5",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG",
      "math.AT",
      "math.CT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-07-22T19:49:23Z",
    "title_canon_sha256": "548436451cf3dff145a1c6a54b267337e61125551805ba69c1dc8ae2a4f6fde7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06297",
    "kind": "arxiv",
    "version": 6
  }
}