Pith Number

pith:C27AEDYF

pith:2015:C27AEDYFD3DG5YT4GRNZBDNN5J

not attested not anchored not stored refs pending

Relative Singularity Categories

Huanhuan Li, Zhaoyong Huang

arxiv:1502.02349 v1 · 2015-02-09 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C27AEDYFD3DG5YT4GRNZBDNN5J}

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	2026-05-18T02:27:42.759732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16be020f051ec66ee27c345b908dadea4fabbf6b1615af08014b155484736a96

Aliases

arxiv: 1502.02349 · arxiv_version: 1502.02349v1 · doi: 10.48550/arxiv.1502.02349 · pith_short_12: C27AEDYFD3DG · pith_short_16: C27AEDYFD3DG5YT4 · pith_short_8: C27AEDYF

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/C27AEDYFD3DG5YT4GRNZBDNN5J \
  | 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: 16be020f051ec66ee27c345b908dadea4fabbf6b1615af08014b155484736a96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56c331d9ac18f758308ea6816f1705d91fe931764a299640ba07a5898c54009d",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-02-09T04:17:42Z",
    "title_canon_sha256": "a0dcbd76b27893c90e29117982363055dedc133065404ad1498645177505647d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02349",
    "kind": "arxiv",
    "version": 1
  }
}