Pith Number

pith:CKFCM27Q

pith:2023:CKFCM27Q5PSH57J4EJND42TOAG

not attested not anchored not stored refs pending

A database of basic numerical invariants of Hilbert modular surfaces

Aleksander Horawa, Angelica Babei, Avinash Kulkarni, Ben Breen, Edgar Costa, Eran Assaf, Grant Molnar, Jean Kieffer, John Voight, Juanita Duque-Rosero, Sam Schiavone

arxiv:2301.10302 v2 · 2023-01-24 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CKFCM27Q5PSH57J4EJND42TOAG}

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	2026-07-05T06:42:42.109937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

128a266bf0ebe47efd3c225a3e6a6e01ae6674b3051453797c6a432045ecbf70

Aliases

arxiv: 2301.10302 · arxiv_version: 2301.10302v2 · doi: 10.48550/arxiv.2301.10302 · pith_short_12: CKFCM27Q5PSH · pith_short_16: CKFCM27Q5PSH57J4 · pith_short_8: CKFCM27Q

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/CKFCM27Q5PSH57J4EJND42TOAG \
  | 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: 128a266bf0ebe47efd3c225a3e6a6e01ae6674b3051453797c6a432045ecbf70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "592b5f7be465b2cc8ee962d6da9553c9dd2ec9d9cf0345baa05e2651d87ea479",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-01-24T20:48:28Z",
    "title_canon_sha256": "72f9f76f5378a7ab904332d744d0de1c25ada3585c865a3058302f2ccf61e747"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.10302",
    "kind": "arxiv",
    "version": 2
  }
}