Pith Number

pith:WQRPBMO2

pith:2026:WQRPBMO2SHZT36GERRMOU3Q3YY

not attested not anchored not stored refs pending

Open surfaces with a triangle at infinity

Alexander Perepechko, Daniil Shunin, Dmitriy Chunaev

arxiv:2607.14055 v1 · 2026-07-15 · 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{WQRPBMO2SHZT36GERRMOU3Q3YY}

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	2026-07-16T01:23:22.131656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b422f0b1da91f33df8c48c58ea6e1bc63718244cc44fee1312291bdfe5b47da0

Aliases

arxiv: 2607.14055 · arxiv_version: 2607.14055v1 · doi: 10.48550/arxiv.2607.14055 · pith_short_12: WQRPBMO2SHZT · pith_short_16: WQRPBMO2SHZT36GE · pith_short_8: WQRPBMO2

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/WQRPBMO2SHZT36GERRMOU3Q3YY \
  | 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: b422f0b1da91f33df8c48c58ea6e1bc63718244cc44fee1312291bdfe5b47da0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca92b94c906f86ba217d280df5a1c11161377d6a3f69064b23aec5e5b8a76eea",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-15T17:26:02Z",
    "title_canon_sha256": "59a0cd5be5dd031b983b6d3f84f19c68bde1a126943814caa1def1d03e0d21f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14055",
    "kind": "arxiv",
    "version": 1
  }
}