Pith Number

pith:3A7XIBNZ

pith:2004:3A7XIBNZ6B75V2O3XTMTNRQHXR

not attested not anchored not stored refs pending

Categorification of the Kauffman bracket skein module of I-bundles over surfaces

Adam S. Sikora, Jozef H. Przytycki, Marta M. Asaeda

arxiv:math/0409414 v2 · 2004-09-21 · 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{3A7XIBNZ6B75V2O3XTMTNRQHXR}

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	2026-05-18T02:41:32.297729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d83f7405b9f07fdae9dbbcd936c607bc4d1573d8ee1da27b2043627acd445306

Aliases

arxiv: math/0409414 · arxiv_version: math/0409414v2 · doi: 10.48550/arxiv.math/0409414 · pith_short_12: 3A7XIBNZ6B75 · pith_short_16: 3A7XIBNZ6B75V2O3 · pith_short_8: 3A7XIBNZ

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/3A7XIBNZ6B75V2O3XTMTNRQHXR \
  | 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: d83f7405b9f07fdae9dbbcd936c607bc4d1573d8ee1da27b2043627acd445306

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d400a859c3f61edcf2015124656058966da19c7ee4d24fb60a60bb309b30b42d",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2004-09-21T20:01:50Z",
    "title_canon_sha256": "32558115199376cbf55bf0874816063cae5838839579f0bac6f641251de1eaa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409414",
    "kind": "arxiv",
    "version": 2
  }
}