Pith Number

pith:OJZ7U7TR

pith:2004:OJZ7U7TR4TIPE7EB36IAWNGUTB

not attested not anchored not stored refs pending

Poincare' series of monomial rings

Alexander Berglund

arxiv:math/0412282 v1 · 2004-12-14 · 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{OJZ7U7TR4TIPE7EB36IAWNGUTB}

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	2026-05-18T04:39:08.661721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7273fa7e71e4d0f27c81df900b34d4985808d1e95e84cf5b86ab01f72abfd073

Aliases

arxiv: math/0412282 · arxiv_version: math/0412282v1 · doi: 10.48550/arxiv.math/0412282 · pith_short_12: OJZ7U7TR4TIP · pith_short_16: OJZ7U7TR4TIPE7EB · pith_short_8: OJZ7U7TR

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/OJZ7U7TR4TIPE7EB36IAWNGUTB \
  | 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: 7273fa7e71e4d0f27c81df900b34d4985808d1e95e84cf5b86ab01f72abfd073

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3314e54a52c58a8a6ea5d90dbef9df6b9f8d8fe02917eae62c403dea2d14f803",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2004-12-14T16:27:02Z",
    "title_canon_sha256": "e4fa6d76044245378dcb5a2ae714fe0be46fb6494df965dff21243305070a86d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0412282",
    "kind": "arxiv",
    "version": 1
  }
}