Pith Number

pith:QNKN2SOP

pith:2002:QNKN2SOPI2YG3PUADL7YNF4OHM

not attested not anchored not stored refs pending

Invariants of 3-manifolds from representations of the framed-tangle category

Olaf M\"uller

arxiv:math/0203016 v1 · 2002-03-03 · 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{QNKN2SOPI2YG3PUADL7YNF4OHM}

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	2026-05-18T01:14:26.445724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8354dd49cf46b06dbe801aff86978e3b366014ecbd45ff2dd22975489667ef81

Aliases

arxiv: math/0203016 · arxiv_version: math/0203016v1 · doi: 10.48550/arxiv.math/0203016 · pith_short_12: QNKN2SOPI2YG · pith_short_16: QNKN2SOPI2YG3PUA · pith_short_8: QNKN2SOP

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/QNKN2SOPI2YG3PUADL7YNF4OHM \
  | 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: 8354dd49cf46b06dbe801aff86978e3b366014ecbd45ff2dd22975489667ef81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7204cccd8bf08e905690d9992cde095ff4950eddf970f76a8ed225a04374548",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-03-03T18:23:21Z",
    "title_canon_sha256": "f6aa5a4a406a18793faf4a05bc39541c39b0b8c63830fde426ac505201ef421d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0203016",
    "kind": "arxiv",
    "version": 1
  }
}