Pith Number

pith:PNG5BUKU

pith:2012:PNG5BUKUPJPCZNNW2H2YUL52NR

not attested not anchored not stored refs pending

Contact topology and holomorphic invariants via elementary combinatorics

Daniel V. Mathews

arxiv:1212.1759 v1 · 2012-12-08 · 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{PNG5BUKUPJPCZNNW2H2YUL52NR}

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	2026-05-18T03:38:55.190055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b4dd0d1547a5e2cb5b6d1f58a2fba6c4502e1ebfa078219f9e7bb62c1471897

Aliases

arxiv: 1212.1759 · arxiv_version: 1212.1759v1 · doi: 10.48550/arxiv.1212.1759 · pith_short_12: PNG5BUKUPJPC · pith_short_16: PNG5BUKUPJPCZNNW · pith_short_8: PNG5BUKU

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/PNG5BUKUPJPCZNNW2H2YUL52NR \
  | 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: 7b4dd0d1547a5e2cb5b6d1f58a2fba6c4502e1ebfa078219f9e7bb62c1471897

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c2ecb0bf511420a33544de110b4b4c49b131b1eb105fbaa804a4744693d865e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-12-08T04:37:12Z",
    "title_canon_sha256": "2c3db27be4a1683c95af3e7f4d8c8228236ef908c8865e275f05d5817d424f06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1759",
    "kind": "arxiv",
    "version": 1
  }
}