Pith Number

pith:MH5C65OG

pith:2007:MH5C65OG53OOHJCYJ77IYMGKPH

not attested not anchored not stored refs pending

Theta-functions on the Kodaira-Thurston manifold

Alejandro Uribe, William D. Kirwin

arxiv:0712.4016 v1 · 2007-12-24 · math.DG · 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{MH5C65OG53OOHJCYJ77IYMGKPH}

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	2026-05-18T03:42:56.041461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61fa2f75c6eedce3a4584ffe8c30ca79c966833e6425a6c36f0c481da2c8d807

Aliases

arxiv: 0712.4016 · arxiv_version: 0712.4016v1 · doi: 10.48550/arxiv.0712.4016 · pith_short_12: MH5C65OG53OO · pith_short_16: MH5C65OG53OOHJCY · pith_short_8: MH5C65OG

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/MH5C65OG53OOHJCYJ77IYMGKPH \
  | 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: 61fa2f75c6eedce3a4584ffe8c30ca79c966833e6425a6c36f0c481da2c8d807

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9765f2e9274e1ea30e3db96a97c6ccb970daeab5b66efbdc526ce346bee70e4a",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-12-24T18:11:43Z",
    "title_canon_sha256": "d7e39d48f1f662ac745dcb6381b5202ab9aee9e073ef3c1ad615f243dbfca1df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.4016",
    "kind": "arxiv",
    "version": 1
  }
}