Pith Number

pith:IUYR5FOM

pith:2015:IUYR5FOMZ6HETX7MR75XSDWHJ2

not attested not anchored not stored refs pending

0-cycles on singular schemes and class field theory

Amalendu Krishna

arxiv:1502.01515 v1 · 2015-02-05 · 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{IUYR5FOMZ6HETX7MR75XSDWHJ2}

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	2026-05-18T02:27:51.859944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45311e95cccf8e49dfec8ffb790ec74ebf3ed3c6b50b084128d6664e417af816

Aliases

arxiv: 1502.01515 · arxiv_version: 1502.01515v1 · doi: 10.48550/arxiv.1502.01515 · pith_short_12: IUYR5FOMZ6HE · pith_short_16: IUYR5FOMZ6HETX7M · pith_short_8: IUYR5FOM

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/IUYR5FOMZ6HETX7MR75XSDWHJ2 \
  | 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: 45311e95cccf8e49dfec8ffb790ec74ebf3ed3c6b50b084128d6664e417af816

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8056401992afee7665ea5c00779c0066803536ef88d44221342b74a042a18ea4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-02-05T12:20:06Z",
    "title_canon_sha256": "aa6b31d7f424cdac37ea6bba826e161794c931a300eda28723bd55bf1a2d3580"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01515",
    "kind": "arxiv",
    "version": 1
  }
}