Pith Number

pith:RG7THSME

pith:2015:RG7THSMEU7V3OQMERZN65YW7XS

not attested not anchored not stored refs pending

On 0-cycles with modulus

Amalendu Krishna

arxiv:1504.03125 v2 · 2015-04-13 · 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{RG7THSMEU7V3OQMERZN65YW7XS}

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	2026-05-18T01:26:57.753167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89bf33c984a7ebb741848e5beee2dfbca20b57857e8963542df07fdee70551a9

Aliases

arxiv: 1504.03125 · arxiv_version: 1504.03125v2 · doi: 10.48550/arxiv.1504.03125 · pith_short_12: RG7THSMEU7V3 · pith_short_16: RG7THSMEU7V3OQME · pith_short_8: RG7THSME

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/RG7THSMEU7V3OQMERZN65YW7XS \
  | 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: 89bf33c984a7ebb741848e5beee2dfbca20b57857e8963542df07fdee70551a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a43771a91a3cac1e8d3ef5c58799df0d940b6fc3bfa29e78f495e1f1025c8cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-04-13T11:04:03Z",
    "title_canon_sha256": "5a811ada56bb9005df45015043546d8bf184f8e9a01cafa2ed64e8f9830f17c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03125",
    "kind": "arxiv",
    "version": 2
  }
}