Pith Number

pith:KMT47ZEQ

pith:2002:KMT47ZEQZJFLT5R7S7PKGGETRJ

not attested not anchored not stored refs pending

Addendum and correction to: Homology cylinders: an enlargement of the mapping class group

Jerome Levine

arxiv:math/0207290 v3 · 2002-07-30 · 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{KMT47ZEQZJFLT5R7S7PKGGETRJ}

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	2026-05-18T02:41:32.924143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5327cfe490ca4ab9f63f97dea318938a709477623fb1480bcf3407baff3c5537

Aliases

arxiv: math/0207290 · arxiv_version: math/0207290v3 · doi: 10.48550/arxiv.math/0207290 · pith_short_12: KMT47ZEQZJFL · pith_short_16: KMT47ZEQZJFLT5R7 · pith_short_8: KMT47ZEQ

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/KMT47ZEQZJFLT5R7S7PKGGETRJ \
  | 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: 5327cfe490ca4ab9f63f97dea318938a709477623fb1480bcf3407baff3c5537

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "112655c93ada7d877fb05518bbec823900978846e8073b6278b6e471e44e4ef5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-07-30T21:35:06Z",
    "title_canon_sha256": "045c2e16b570dee3f964b512a816a06cc064e8ce0acf45e14ada92f60208a655"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0207290",
    "kind": "arxiv",
    "version": 3
  }
}