Pith Number

pith:M4DKOUZC

pith:1999:M4DKOUZCPDRN2KFQ6D3H2KN65L

not attested not anchored not stored refs pending

Computation of Lickorish's Three Manifold Invariants using Chern-Simons Theory

P. Ramadevi, Swatee Naik

arxiv:hep-th/9901061 v1 · 1999-01-15 · hep-th · 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{M4DKOUZCPDRN2KFQ6D3H2KN65L}

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.

Cited by

1 paper in Pith

$q$-Series Invariants of Three-Manifolds and Knots-Quivers Correspondence

Receipt and verification

First computed	2026-07-04T16:14:37.580012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6706a7532278e2dd28b0f0f67d29beeafeba937c4d2a74e24d232067fcc3db59

Aliases

arxiv: hep-th/9901061 · arxiv_version: hep-th/9901061v1 · doi: 10.48550/arxiv.hep-th/9901061 · pith_short_12: M4DKOUZCPDRN · pith_short_16: M4DKOUZCPDRN2KFQ · pith_short_8: M4DKOUZC

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/M4DKOUZCPDRN2KFQ6D3H2KN65L \
  | 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: 6706a7532278e2dd28b0f0f67d29beeafeba937c4d2a74e24d232067fcc3db59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5939c1d51c08636d9b632e9c905d9394e4e5cdc42798b38f5bbdc7d0b0863fcf",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-01-15T14:00:09Z",
    "title_canon_sha256": "7dd1255f7e96f6fee261465ac067dc322a0f8495a9897e1becfd0822dbc69d60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9901061",
    "kind": "arxiv",
    "version": 1
  }
}