Pith Number

pith:CHCKOMUP

pith:2001:CHCKOMUP4HEAFLIFR7G2I65BQZ

not attested not anchored not stored refs pending

Towards an Algebraic Characterization of 3-dimensional Cobordisms

Thomas Kerler

arxiv:math/0106253 v1 · 2001-06-28 · math.GT · math.CT · 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{CHCKOMUP4HEAFLIFR7G2I65BQZ}

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	2026-05-18T03:22:06.706797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11c4a7328fe1c802ad058fcda47ba1865bd8337236f24e8b49e0e16ecf5961ea

Aliases

arxiv: math/0106253 · arxiv_version: math/0106253v1 · doi: 10.48550/arxiv.math/0106253 · pith_short_12: CHCKOMUP4HEA · pith_short_16: CHCKOMUP4HEAFLIF · pith_short_8: CHCKOMUP

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/CHCKOMUP4HEAFLIFR7G2I65BQZ \
  | 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: 11c4a7328fe1c802ad058fcda47ba1865bd8337236f24e8b49e0e16ecf5961ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e1ef084197542afe8e7dd4c15e1858d32c866490a41951848db9b0f1cc1228e",
    "cross_cats_sorted": [
      "math.CT",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2001-06-28T21:39:06Z",
    "title_canon_sha256": "542919d77aa8adf938120f4145e61714eee7e3d4cefc8b59d8c01212bb3d35da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0106253",
    "kind": "arxiv",
    "version": 1
  }
}