Pith Number

pith:3JOSEZN6

pith:2010:3JOSEZN65JOOMTMLZEPN3AXCSD

not attested not anchored not stored refs pending

Non-abelian reciprocity laws on a Riemann surface

Ivan Horozov

arxiv:1002.2707 v1 · 2010-02-13 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3JOSEZN65JOOMTMLZEPN3AXCSD}

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	2026-05-18T00:00:23.215003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da5d2265beea5ce64d8bc91edd82e290fb1563351678fdda2b0b4f30325c7865

Aliases

arxiv: 1002.2707 · arxiv_version: 1002.2707v1 · doi: 10.48550/arxiv.1002.2707 · pith_short_12: 3JOSEZN65JOO · pith_short_16: 3JOSEZN65JOOMTML · pith_short_8: 3JOSEZN6

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/3JOSEZN65JOOMTMLZEPN3AXCSD \
  | 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: da5d2265beea5ce64d8bc91edd82e290fb1563351678fdda2b0b4f30325c7865

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f306a84033c22090178d7426c7c0f4b4d1696a5a17d069260c8f33b959263062",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-02-13T14:22:31Z",
    "title_canon_sha256": "fae6ddda9fb0fc67ff388777613e63cc90abb9d439937e8cfc89d8a1d800613b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2707",
    "kind": "arxiv",
    "version": 1
  }
}