Pith Number

pith:E46EGBPE

pith:2014:E46EGBPELNWDVM4EXBBS5NSLJQ

not attested not anchored not stored refs pending

A regular homotopy version of the Goldman-Turaev Lie bialgebra, the Enomoto-Satoh traces and the divergence cocycle in the Kashiwara-Vergne problem

Nariya Kawazumi

arxiv:1406.0056 v1 · 2014-05-31 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E46EGBPELNWDVM4EXBBS5NSLJQ}

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	2026-05-18T02:50:41.921749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

273c4305e45b6c3ab384b8432eb64b4c2bc641b3c4bc48954712f0bd9f3a7408

Aliases

arxiv: 1406.0056 · arxiv_version: 1406.0056v1 · doi: 10.48550/arxiv.1406.0056 · pith_short_12: E46EGBPELNWD · pith_short_16: E46EGBPELNWDVM4E · pith_short_8: E46EGBPE

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/E46EGBPELNWDVM4EXBBS5NSLJQ \
  | 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: 273c4305e45b6c3ab384b8432eb64b4c2bc641b3c4bc48954712f0bd9f3a7408

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c6b3ea22bcea27c482dcb22f6ae0ad84af12d9555cdac5f9ce1ce5045fca88d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-05-31T08:39:12Z",
    "title_canon_sha256": "c613a7bb88bb8bb2f604f0afc45ef54fed608282caa600eda021f229847f25f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0056",
    "kind": "arxiv",
    "version": 1
  }
}