Pith Number

pith:ATODUQYF

pith:2013:ATODUQYFO3BEHFHMJYGIXUJJZU

not attested not anchored not stored refs pending

Holomorphic Lagrangian fibrations on hypercomplex manifolds

Andrey Soldatenkov, Misha Verbitsky

arxiv:1301.0175 v1 · 2013-01-02 · math.DG · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ATODUQYFO3BEHFHMJYGIXUJJZU}

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	2026-05-18T01:27:37.203857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04dc3a430576c24394ec4e0c8bd129cd28e5ff5b3484cbdb7b7cc5a8fb5d3301

Aliases

arxiv: 1301.0175 · arxiv_version: 1301.0175v1 · doi: 10.48550/arxiv.1301.0175 · pith_short_12: ATODUQYFO3BE · pith_short_16: ATODUQYFO3BEHFHM · pith_short_8: ATODUQYF

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/ATODUQYFO3BEHFHMJYGIXUJJZU \
  | 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: 04dc3a430576c24394ec4e0c8bd129cd28e5ff5b3484cbdb7b7cc5a8fb5d3301

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40c68cce5581f007a60ed9817b8a57d8a1e73d8ea878d8610f5d0fe9e2d082aa",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-01-02T06:57:50Z",
    "title_canon_sha256": "3391a7370f92b125a109f7364574a9be9f63aeb6909cb2acbc39ef442da87b02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0175",
    "kind": "arxiv",
    "version": 1
  }
}