Pith Number

pith:4B7OBKLJ

pith:2013:4B7OBKLJTIUWRUCWPEPDJMLNPR

not attested not anchored not stored refs pending

The space of complete quotients

Yi Hu, Yijun Shao

arxiv:1309.6028 v1 · 2013-09-24 · 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{4B7OBKLJTIUWRUCWPEPDJMLNPR}

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	2026-05-18T03:12:24.293795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e07ee0a9699a2968d056791e34b16d7c4462e87cb4f55d2bf0fe8ae1b292cd70

Aliases

arxiv: 1309.6028 · arxiv_version: 1309.6028v1 · doi: 10.48550/arxiv.1309.6028 · pith_short_12: 4B7OBKLJTIUW · pith_short_16: 4B7OBKLJTIUWRUCW · pith_short_8: 4B7OBKLJ

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/4B7OBKLJTIUWRUCWPEPDJMLNPR \
  | 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: e07ee0a9699a2968d056791e34b16d7c4462e87cb4f55d2bf0fe8ae1b292cd70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9daf5c3b882438aad8e77cf69c83fb10d75044f36ad7d9e4422c629791970fb6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-09-24T02:29:49Z",
    "title_canon_sha256": "cd99f1f96e2322975a380a263be6a308fc03219b3962c08051ce09a75a043bec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6028",
    "kind": "arxiv",
    "version": 1
  }
}