Pith Number

pith:MTSX3SIP

pith:2002:MTSX3SIPINTMRCOWOJLZXDGW3H

not attested not anchored not stored refs pending

Cappell-Shaneson's 4-dimensional s-cobordism

Selman Akbulut

arxiv:math/0208092 v2 · 2002-08-12 · math.GT · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTSX3SIPINTMRCOWOJLZXDGW3H}

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	2026-05-18T02:38:00.604579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64e57dc90f4366c889d672579b8cd6d9c6f387247feac26f47931e48b6f0e43f

Aliases

arxiv: math/0208092 · arxiv_version: math/0208092v2 · doi: 10.48550/arxiv.math/0208092 · pith_short_12: MTSX3SIPINTM · pith_short_16: MTSX3SIPINTMRCOW · pith_short_8: MTSX3SIP

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/MTSX3SIPINTMRCOWOJLZXDGW3H \
  | 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: 64e57dc90f4366c889d672579b8cd6d9c6f387247feac26f47931e48b6f0e43f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6af0fc67fb4c9fc6d2fd2c7e089c906758bbf3967d224931b760a0cf0c573ba4",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-08-12T21:46:33Z",
    "title_canon_sha256": "258bdc14296a57b5abbcffc4f85d0c26c8210f0371283495c8eab37aea0981d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0208092",
    "kind": "arxiv",
    "version": 2
  }
}