Pith Number

pith:3SN2IZJO

pith:2008:3SN2IZJOOXDQZA7SREGDNNDPUW

not attested not anchored not stored refs pending

A General Reciprocity Law on arbitrary Vector Spaces

Fernando Pablos Romo

arxiv:0804.2142 v2 · 2008-04-14 · math.NT · math.AC · 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{3SN2IZJOOXDQZA7SREGDNNDPUW}

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	2026-05-18T03:24:52.865696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc9ba4652e75c70c83f2890c36b46fa58791813c2bb2ab64e68d5f52b8265edb

Aliases

arxiv: 0804.2142 · arxiv_version: 0804.2142v2 · doi: 10.48550/arxiv.0804.2142 · pith_short_12: 3SN2IZJOOXDQ · pith_short_16: 3SN2IZJOOXDQZA7S · pith_short_8: 3SN2IZJO

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/3SN2IZJOOXDQZA7SREGDNNDPUW \
  | 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: dc9ba4652e75c70c83f2890c36b46fa58791813c2bb2ab64e68d5f52b8265edb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0990f1e9a529cb3aaacbbc37c253016e25e63419bc6cb43f91d721eccdeb2959",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-04-14T10:50:31Z",
    "title_canon_sha256": "9bbea69de9fe153795f1425cadd8bc2f23e3e854206b4e5580654c4dc02410b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.2142",
    "kind": "arxiv",
    "version": 2
  }
}