Pith Number

pith:XBGSTHYQ

pith:2025:XBGSTHYQ7H2G6B6BHARSTB3F5M

not attested not anchored not stored refs pending

Holomorphic automorphisms of Markov-type surfaces

Rafael B. Andrist

arxiv:2502.15101 v2 · 2025-02-20 · math.CV · 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{XBGSTHYQ7H2G6B6BHARSTB3F5M}

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	2026-07-05T11:21:42.882004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b84d299f10f9f46f07c13823298765eb256153f9a21887a4e279086c4cf6d291

Aliases

arxiv: 2502.15101 · arxiv_version: 2502.15101v2 · doi: 10.48550/arxiv.2502.15101 · pith_short_12: XBGSTHYQ7H2G · pith_short_16: XBGSTHYQ7H2G6B6B · pith_short_8: XBGSTHYQ

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/XBGSTHYQ7H2G6B6BHARSTB3F5M \
  | 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: b84d299f10f9f46f07c13823298765eb256153f9a21887a4e279086c4cf6d291

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80de8828c9875724b77a7396a882df3c93c4e9661cc35c0cd17aeb7c0544bf97",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2025-02-20T23:43:54Z",
    "title_canon_sha256": "23f39b511b15937babff0a61aab4b624bfbb322931bf45de2355054c822b8ae3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.15101",
    "kind": "arxiv",
    "version": 2
  }
}