Pith Number

pith:2HREVZBE

pith:2012:2HREVZBETCXGFKWWU4MHFH2FD6

not attested not anchored not stored refs pending

Reconstructing 4-manifolds from Morse 2-functions

David T. Gay, Robion Kirby

arxiv:1202.3487 v2 · 2012-02-16 · 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{2HREVZBETCXGFKWWU4MHFH2FD6}

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	2026-05-18T01:22:26.874970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1e24ae42498ae62aad6a718729f451fb034d1f5ea5be4492fd24fee66e21daf

Aliases

arxiv: 1202.3487 · arxiv_version: 1202.3487v2 · doi: 10.48550/arxiv.1202.3487 · pith_short_12: 2HREVZBETCXG · pith_short_16: 2HREVZBETCXGFKWW · pith_short_8: 2HREVZBE

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/2HREVZBETCXGFKWWU4MHFH2FD6 \
  | 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: d1e24ae42498ae62aad6a718729f451fb034d1f5ea5be4492fd24fee66e21daf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba1b1add6af2b50dcab1c9ed8a7be46729d4aa466772c55a985d5261ec6869c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-02-16T01:22:08Z",
    "title_canon_sha256": "a55e1a575f73933dddd41abdf02674057144f4e57ecafa63cb95107d308fa097"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3487",
    "kind": "arxiv",
    "version": 2
  }
}