Pith Number

pith:Z42LUHGT

pith:2009:Z42LUHGTFNJJ2NVE4WNGXUA44C

not attested not anchored not stored refs pending

Quantization of the Lie bialgebra of string topology

Farkhod Eshmatov, Wee Liang Gan, Xiaojun Chen

arxiv:0902.2161 v2 · 2009-02-12 · math.AT · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z42LUHGTFNJJ2NVE4WNGXUA44C}

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	2026-05-18T02:14:48.117057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf34ba1cd32b529d36a4e59a6bd01ce08318419561a3bd6a8e45668cbdb85593

Aliases

arxiv: 0902.2161 · arxiv_version: 0902.2161v2 · doi: 10.48550/arxiv.0902.2161 · pith_short_12: Z42LUHGTFNJJ · pith_short_16: Z42LUHGTFNJJ2NVE · pith_short_8: Z42LUHGT

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/Z42LUHGTFNJJ2NVE4WNGXUA44C \
  | 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: cf34ba1cd32b529d36a4e59a6bd01ce08318419561a3bd6a8e45668cbdb85593

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b534aaf14d4c605a0d526f83d8b3306729b98e78e657962c8a6ab4215afb606d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-02-12T17:34:07Z",
    "title_canon_sha256": "1bf310125d28a318c2111e5a2f7e461d1bb731edb36b72b286a3c3a80a62fb63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.2161",
    "kind": "arxiv",
    "version": 2
  }
}