Pith Number

pith:CWLJJMFZ

pith:2006:CWLJJMFZIZFHXDRVJQQ2X6MRVM

not attested not anchored not stored refs pending

Link groups and the A-B slice problem

Vyacheslav Krushkal

arxiv:math/0602105 v2 · 2006-02-06 · 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{CWLJJMFZIZFHXDRVJQQ2X6MRVM}

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	2026-05-18T04:39:18.617597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

159694b0b9464a7b8e354c21abf991ab28bfb8bbcb116954bd703d72805fb8f1

Aliases

arxiv: math/0602105 · arxiv_version: math/0602105v2 · doi: 10.48550/arxiv.math/0602105 · pith_short_12: CWLJJMFZIZFH · pith_short_16: CWLJJMFZIZFHXDRV · pith_short_8: CWLJJMFZ

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/CWLJJMFZIZFHXDRVJQQ2X6MRVM \
  | 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: 159694b0b9464a7b8e354c21abf991ab28bfb8bbcb116954bd703d72805fb8f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4309eef1230ffc504e40df5959b4051141be37787eb798371c6aa6a0c229a28f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2006-02-06T18:41:23Z",
    "title_canon_sha256": "4da173952c6d31b81c9e046f40abdbfd991db8df51acea90c03b63aba604564a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0602105",
    "kind": "arxiv",
    "version": 2
  }
}