Pith Number

pith:SQEVZKTL

pith:2025:SQEVZKTL72Q2QKMUXVU7B23Q23

not attested not anchored not stored refs pending

Dubrovin-Natanzon divisors on MM-curves

Petr G. Grinevich, Simonetta Abenda

arxiv:2508.08426 v1 · 2025-08-11 · math.AG · math-ph · math.CO · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SQEVZKTL72Q2QKMUXVU7B23Q23}

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	2026-07-05T11:52:27.960822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94095caa6bfea1a82994bd69f0eb70d6d290fa9190b43cc48fa372ba16f6a95f

Aliases

arxiv: 2508.08426 · arxiv_version: 2508.08426v1 · doi: 10.48550/arxiv.2508.08426 · pith_short_12: SQEVZKTL72Q2 · pith_short_16: SQEVZKTL72Q2QKMU · pith_short_8: SQEVZKTL

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/SQEVZKTL72Q2QKMUXVU7B23Q23 \
  | 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: 94095caa6bfea1a82994bd69f0eb70d6d290fa9190b43cc48fa372ba16f6a95f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b404d8563b187ac4e5e672da27b864d1746a6bb71a26076f2234ad6a7ff00abb",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-08-11T19:28:43Z",
    "title_canon_sha256": "92f191e51dddca3bf150586da7e9f8f056a6176b23bed56d166252d979e13b7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.08426",
    "kind": "arxiv",
    "version": 1
  }
}