Pith Number

pith:IZNTGEXR

pith:2017:IZNTGEXREBROK4YJMWMNAKESBM

not attested not anchored not stored refs pending

Commutative Algebra of Generalised Frobenius Numbers

Ben Smith, Madhusudan Manjunath

arxiv:1703.10884 v2 · 2017-03-31 · 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{IZNTGEXREBROK4YJMWMNAKESBM}

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	2026-05-18T00:10:47.829377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

465b3312f12062e573096598d028920b21d763783006d2db25cf368e444629df

Aliases

arxiv: 1703.10884 · arxiv_version: 1703.10884v2 · doi: 10.48550/arxiv.1703.10884 · pith_short_12: IZNTGEXREBRO · pith_short_16: IZNTGEXREBROK4YJ · pith_short_8: IZNTGEXR

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/IZNTGEXREBROK4YJMWMNAKESBM \
  | 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: 465b3312f12062e573096598d028920b21d763783006d2db25cf368e444629df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f85404e262c4076b07dbd10b7db2b35233a662d1914101845349e99d378fabd1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-03-31T13:01:22Z",
    "title_canon_sha256": "757aa79f670b3d0558a3e70a97ee4568616fb61ad92b7a9de2e1c350c2a6f5bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10884",
    "kind": "arxiv",
    "version": 2
  }
}