Pith Number

pith:PFTQMCMK

pith:2012:PFTQMCMKP7X55ERMOKKAFXAP4I

not attested not anchored not stored refs pending

A Stringy Generalization of the Kontsevich Integral

Renaud Gauthier

arxiv:1203.4555 v1 · 2012-03-20 · math.GT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PFTQMCMKP7X55ERMOKKAFXAP4I}

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	2026-05-18T03:59:38.836764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

796706098a7fefde922c729402dc0fe206214fb0e56759a00a29dd914eda820d

Aliases

arxiv: 1203.4555 · arxiv_version: 1203.4555v1 · doi: 10.48550/arxiv.1203.4555 · pith_short_12: PFTQMCMKP7X5 · pith_short_16: PFTQMCMKP7X55ERM · pith_short_8: PFTQMCMK

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/PFTQMCMKP7X55ERMOKKAFXAP4I \
  | 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: 796706098a7fefde922c729402dc0fe206214fb0e56759a00a29dd914eda820d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e9e9e491d4759ca4e72ee40c08dbc1a2ca37d240f0357720f68e27bc7abaffd",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-03-20T19:51:36Z",
    "title_canon_sha256": "217de11f57ef9b6ac3a1acf0dc9fbe0ba1e20c0b87a2d425a531eeb6239a2b67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4555",
    "kind": "arxiv",
    "version": 1
  }
}