Pith Number

pith:4GSJFTU3

pith:2015:4GSJFTU3SAV4YUBYCWY26SQE7Z

not attested not anchored not stored refs pending

Murthy's conjecture on 0-cycles

Amalendu Krishna

arxiv:1511.04221 v3 · 2015-11-13 · 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{4GSJFTU3SAV4YUBYCWY26SQE7Z}

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	2026-05-17T23:51:06.473377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1a492ce9b902bcc503815b1af4a04fe42c7764e9c0218b24308f26d00a9de05

Aliases

arxiv: 1511.04221 · arxiv_version: 1511.04221v3 · doi: 10.48550/arxiv.1511.04221 · pith_short_12: 4GSJFTU3SAV4 · pith_short_16: 4GSJFTU3SAV4YUBY · pith_short_8: 4GSJFTU3

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/4GSJFTU3SAV4YUBYCWY26SQE7Z \
  | 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: e1a492ce9b902bcc503815b1af4a04fe42c7764e9c0218b24308f26d00a9de05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "915667928220019f5316552acd4b2c96a2f14e0384b7202d6a9460fd0130c889",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-13T10:12:39Z",
    "title_canon_sha256": "fd8dab90b553d07c90698974b86977bc0c32e07110333b34cbd8f3080dd7a1f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04221",
    "kind": "arxiv",
    "version": 3
  }
}