Pith Number

pith:5RZRMGXK

pith:2016:5RZRMGXKGOFSXYQ5KTLRJTALLH

not attested not anchored not stored refs pending

Higher genus Kashiwara-Vergne problems and the Goldman-Turaev Lie bialgebra

Anton Alekseev, Florian Naef, Nariya Kawazumi, Yusuke Kuno

arxiv:1611.05581 v1 · 2016-11-17 · math.QA · 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{5RZRMGXKGOFSXYQ5KTLRJTALLH}

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	2026-05-18T00:58:03.206106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec73161aea338b2be21d54d714cc0b59fa284703e7005c90cd95de344b79d28c

Aliases

arxiv: 1611.05581 · arxiv_version: 1611.05581v1 · doi: 10.48550/arxiv.1611.05581 · pith_short_12: 5RZRMGXKGOFS · pith_short_16: 5RZRMGXKGOFSXYQ5 · pith_short_8: 5RZRMGXK

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/5RZRMGXKGOFSXYQ5KTLRJTALLH \
  | 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: ec73161aea338b2be21d54d714cc0b59fa284703e7005c90cd95de344b79d28c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d869e955b94e2cd57ef924c82073d3ba7e0820ccf44c94ca4d2518f59bc6188",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-11-17T06:27:05Z",
    "title_canon_sha256": "2c022754bf1c26077e56d0ca032df821ec7facc5d5f1aa940bcdc9d0d3777ef7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05581",
    "kind": "arxiv",
    "version": 1
  }
}