Pith Number

pith:GQS3MLBS

pith:2015:GQS3MLBSHSNIOFUA6HVH52HUMC

not attested not anchored not stored refs pending

A tensorial description of the Turaev cobracket on genus 0 compact surfaces

Nariya Kawazumi

arxiv:1506.03174 v2 · 2015-06-10 · math.GT · math.NT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GQS3MLBSHSNIOFUA6HVH52HUMC}

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	2026-05-18T01:12:18.428690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3425b62c323c9a871680f1ea7ee8f460a27244e17de9e8827289f6a8a0f1f17c

Aliases

arxiv: 1506.03174 · arxiv_version: 1506.03174v2 · doi: 10.48550/arxiv.1506.03174 · pith_short_12: GQS3MLBSHSNI · pith_short_16: GQS3MLBSHSNIOFUA · pith_short_8: GQS3MLBS

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/GQS3MLBSHSNIOFUA6HVH52HUMC \
  | 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: 3425b62c323c9a871680f1ea7ee8f460a27244e17de9e8827289f6a8a0f1f17c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff7e2c0fb5026282096a12107c282dc4c78a0f82a2de02e8724654a801416fe8",
    "cross_cats_sorted": [
      "math.NT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-06-10T05:54:42Z",
    "title_canon_sha256": "67ed63eace919996b9d4a1059327612b982b708eae6f70e8ad19425b17aad6ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03174",
    "kind": "arxiv",
    "version": 2
  }
}