Pith Number

pith:32SHLQ6A

pith:2014:32SHLQ6A5CKJGQA3ITO4FDGIUJ

not attested not anchored not stored refs pending

Irreducible Canonical Representations in Positive Characteristic

Alexander Smith, Allen Yuan, Benjamin Gunby

arxiv:1408.3830 v1 · 2014-08-17 · 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{32SHLQ6A5CKJGQA3ITO4FDGIUJ}

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	2026-05-18T02:45:03.198096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dea475c3c0e89493401b44ddc28cc8a27f3cb0befb5ef996a3c2b64258af8c43

Aliases

arxiv: 1408.3830 · arxiv_version: 1408.3830v1 · doi: 10.48550/arxiv.1408.3830 · pith_short_12: 32SHLQ6A5CKJ · pith_short_16: 32SHLQ6A5CKJGQA3 · pith_short_8: 32SHLQ6A

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/32SHLQ6A5CKJGQA3ITO4FDGIUJ \
  | 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: dea475c3c0e89493401b44ddc28cc8a27f3cb0befb5ef996a3c2b64258af8c43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc0eb2003d2b788232fb599b8e37ef3941c8ca8a282e6dbb37dddc6b553fb34c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-08-17T14:58:19Z",
    "title_canon_sha256": "ff09a2ded0863954b0f54db6e9fcdc9883a5a337c12d986c0e6b699738482b81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3830",
    "kind": "arxiv",
    "version": 1
  }
}