Pith Number

pith:HLVJE3HM

pith:2010:HLVJE3HMVKNOVKYO2IQFNFP24H

not attested not anchored not stored refs pending

A categorical proof of the Parshin reciprocity laws on algebraic surfaces

Denis Osipov, Xinwen Zhu

arxiv:1002.4848 v3 · 2010-02-25 · math.AG · math.CT · 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{HLVJE3HMVKNOVKYO2IQFNFP24H}

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	2026-05-18T04:12:55.084150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3aea926cecaa9aeaab0ed2205695fae1ef8ec724e983dae79b6821cd8e708fab

Aliases

arxiv: 1002.4848 · arxiv_version: 1002.4848v3 · doi: 10.48550/arxiv.1002.4848 · pith_short_12: HLVJE3HMVKNO · pith_short_16: HLVJE3HMVKNOVKYO · pith_short_8: HLVJE3HM

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/HLVJE3HMVKNOVKYO2IQFNFP24H \
  | 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: 3aea926cecaa9aeaab0ed2205695fae1ef8ec724e983dae79b6821cd8e708fab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca0b6b8c8fb1af0ab92a2f1e48f50fa27280d8a3ed18f6988164b04e14f1211f",
    "cross_cats_sorted": [
      "math.CT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-02-25T19:42:44Z",
    "title_canon_sha256": "1df866e57592d15448b3a7071c34109a12c2064cecbf0994d19c823c797f8f80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4848",
    "kind": "arxiv",
    "version": 3
  }
}