Pith Number

pith:BICI2GTH

pith:2010:BICI2GTHUNGVL2DP4GCPW6A3XY

not attested not anchored not stored refs pending

On the LMO Invariant, the Wheeling Theorem, and the Aarhus Integral

Renaud Gauthier

arxiv:1010.2559 v3 · 2010-10-13 · math.GT · 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{BICI2GTHUNGVL2DP4GCPW6A3XY}

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	2026-05-18T04:35:04.505138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a048d1a67a34d55e86fe184fb781bbe2d4c942191a74e24faa42f7405e963d0

Aliases

arxiv: 1010.2559 · arxiv_version: 1010.2559v3 · doi: 10.48550/arxiv.1010.2559 · pith_short_12: BICI2GTHUNGV · pith_short_16: BICI2GTHUNGVL2DP · pith_short_8: BICI2GTH

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/BICI2GTHUNGVL2DP4GCPW6A3XY \
  | 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: 0a048d1a67a34d55e86fe184fb781bbe2d4c942191a74e24faa42f7405e963d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "006fd9c44d09b0b6cfeee1664e377e4d721aa916e2a770b96965c8ba870739ff",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-10-13T03:00:41Z",
    "title_canon_sha256": "887043d7fdb90850477b9b83051aecd7383940dde667c9e0c9a440ced9af685c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2559",
    "kind": "arxiv",
    "version": 3
  }
}