Pith Number

pith:P24V4UUZ

pith:2002:P24V4UUZF5W5P2MB5E6MIW2UX3

not attested not anchored not stored refs pending

On diffeomorphisms over surfaces trivially embedded in the 4-sphere

Susumu Hirose

arxiv:math/0211019 v1 · 2002-11-01 · 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{P24V4UUZF5W5P2MB5E6MIW2UX3}

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	2026-05-18T02:41:32.827671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7eb95e52992f6dd7e981e93cc45b54bed4d5f24a852b8bcfa5db78a4a6f5acc8

Aliases

arxiv: math/0211019 · arxiv_version: math/0211019v1 · doi: 10.48550/arxiv.math/0211019 · pith_short_12: P24V4UUZF5W5 · pith_short_16: P24V4UUZF5W5P2MB · pith_short_8: P24V4UUZ

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/P24V4UUZF5W5P2MB5E6MIW2UX3 \
  | 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: 7eb95e52992f6dd7e981e93cc45b54bed4d5f24a852b8bcfa5db78a4a6f5acc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2b1f24aa987e839e2a60821723555e88aaaf0ef3c242b9ecf1dd839ff734d9f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-11-01T15:51:10Z",
    "title_canon_sha256": "9a4addfc51aaaf3b04f63eb3bba52252d6e7c7e725ff7bf9781f340b0bc900a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0211019",
    "kind": "arxiv",
    "version": 1
  }
}