Pith Number

pith:W2C4TRKZ

pith:2013:W2C4TRKZTD5T6W3DHZPBJL6MYB

not attested not anchored not stored refs pending

Term-ordering free involutive bases

Margherita Roggero, Michela Ceria, Teo Mora

arxiv:1310.0916 v1 · 2013-10-03 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W2C4TRKZTD5T6W3DHZPBJL6MYB}

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	2026-05-18T03:11:25.039574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b685c9c55998fb3f5b633e5e14afccc0776d23f139a28f55a05d6aaf13631847

Aliases

arxiv: 1310.0916 · arxiv_version: 1310.0916v1 · doi: 10.48550/arxiv.1310.0916 · pith_short_12: W2C4TRKZTD5T · pith_short_16: W2C4TRKZTD5T6W3D · pith_short_8: W2C4TRKZ

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/W2C4TRKZTD5T6W3DHZPBJL6MYB \
  | 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: b685c9c55998fb3f5b633e5e14afccc0776d23f139a28f55a05d6aaf13631847

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f37af478823784198a80ccbbe20c374c81ccbf9a19903ed3ea70de246b7aa5dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-10-03T07:35:31Z",
    "title_canon_sha256": "2fb5c522bd5ddddc88ad685432d643d53ea37328e8723000b3981cf959720e8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0916",
    "kind": "arxiv",
    "version": 1
  }
}