Pith Number

pith:6PH2DVHA

pith:2013:6PH2DVHA6QN73KF2I7EF57AHXB

not attested not anchored not stored refs pending

The Stokes Groupoids

Brent Pym, Marco Gualtieri, Songhao Li

arxiv:1305.7288 v1 · 2013-05-31 · math.AG · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6PH2DVHA6QN73KF2I7EF57AHXB}

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

1 paper in Pith

Quantum-Deformed Phase-Space Geometry and Emergent Inflation in Effective Four-Dimensional Spacetime

Receipt and verification

First computed	2026-05-18T03:22:07.290655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3cfa1d4e0f41bfda8ba47c85efc07b8639da896640ef0e3c17c888142f53c6f

Aliases

arxiv: 1305.7288 · arxiv_version: 1305.7288v1 · doi: 10.48550/arxiv.1305.7288 · pith_short_12: 6PH2DVHA6QN7 · pith_short_16: 6PH2DVHA6QN73KF2 · pith_short_8: 6PH2DVHA

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/6PH2DVHA6QN73KF2I7EF57AHXB \
  | 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: f3cfa1d4e0f41bfda8ba47c85efc07b8639da896640ef0e3c17c888142f53c6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7541d373d09bfa1e084c0e8d1a2460d2f36570fa205a5c6a63f2afa984d9a427",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-05-31T02:52:18Z",
    "title_canon_sha256": "e6bf728ee79a9b268680080d1d0af778c77765791dcac0d00060003d4e9e2cf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.7288",
    "kind": "arxiv",
    "version": 1
  }
}