Pith Number

pith:VZMVTHLG

pith:1998:VZMVTHLGE572W66CFMYDJFVXJ2

not attested not anchored not stored refs pending

From sl(2) Kirby weight systems to the asymptotic 3-manifold invariant

Laurent Freidel

arxiv:math/9802069 v2 · 1998-02-15 · 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{VZMVTHLGE572W66CFMYDJFVXJ2}

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	2026-07-04T14:40:27.208822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae59599d66277fab7bc22b303496b74e92f6ee16bbac904dafc3261e3f5c9bc3

Aliases

arxiv: math/9802069 · arxiv_version: math/9802069v2 · doi: 10.48550/arxiv.math/9802069 · pith_short_12: VZMVTHLGE572 · pith_short_16: VZMVTHLGE572W66C · pith_short_8: VZMVTHLG

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/VZMVTHLGE572W66CFMYDJFVXJ2 \
  | 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: ae59599d66277fab7bc22b303496b74e92f6ee16bbac904dafc3261e3f5c9bc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17dc9f010ed56c38d8d791c677505ae84fe8e894c60003d20e85047a3c9bcfe3",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "1998-02-15T23:20:57Z",
    "title_canon_sha256": "8c3baec3660dd9759451e75061084703b11724c7881ebc120d66eb86733eb813"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9802069",
    "kind": "arxiv",
    "version": 2
  }
}