Pith Number

pith:4TDLJULM

pith:1998:4TDLJULMHVC5JSBFFO3EMOPWGB

not attested not anchored not stored refs pending

Hecke algebras, modular categories and 3-manifolds quantum invariants

Christian Blanchet

arxiv:math/9803114 v1 · 1998-03-24 · 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{4TDLJULMHVC5JSBFFO3EMOPWGB}

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	2026-05-18T03:05:09.978645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4c6b4d16c3d45d4c8252bb64639f63077622b55b5ac0fb277b0ef5e0fb51370

Aliases

arxiv: math/9803114 · arxiv_version: math/9803114v1 · doi: 10.48550/arxiv.math/9803114 · pith_short_12: 4TDLJULMHVC5 · pith_short_16: 4TDLJULMHVC5JSBF · pith_short_8: 4TDLJULM

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/4TDLJULMHVC5JSBFFO3EMOPWGB \
  | 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: e4c6b4d16c3d45d4c8252bb64639f63077622b55b5ac0fb277b0ef5e0fb51370

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12015a5e96f7b48ab55fca0f54e3e18b70c67596eda55f705abc190bc6722b3b",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1998-03-24T18:23:48Z",
    "title_canon_sha256": "71b7040d8fc7ce72209d269dce2003cd8ff51b520b13584391c56a1d7fc9189c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9803114",
    "kind": "arxiv",
    "version": 1
  }
}