Pith Number

pith:Q3X7BC7S

pith:2008:Q3X7BC7SG6T3KMHJ4DF7SIXGZM

not attested not anchored not stored refs pending

w-Divisoriality in Polynomial Rings

Evan Houston, Giampaolo Picozza, Stefania Gabelli

arxiv:0807.3299 v1 · 2008-07-21 · 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{Q3X7BC7SG6T3KMHJ4DF7SIXGZM}

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	2026-05-18T03:25:35.440416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86eff08bf237a7b530e9e0cbf922e6cb383853709ba402e7f1132fcdf0b5e62e

Aliases

arxiv: 0807.3299 · arxiv_version: 0807.3299v1 · doi: 10.48550/arxiv.0807.3299 · pith_short_12: Q3X7BC7SG6T3 · pith_short_16: Q3X7BC7SG6T3KMHJ · pith_short_8: Q3X7BC7S

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/Q3X7BC7SG6T3KMHJ4DF7SIXGZM \
  | 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: 86eff08bf237a7b530e9e0cbf922e6cb383853709ba402e7f1132fcdf0b5e62e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28fe32155118aa02b528afc2eeacf0bccef55bb6e10f1e2a80dcc380f0c28090",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2008-07-21T16:26:24Z",
    "title_canon_sha256": "9c41c5bdcf70385e2385c1f377ade175909f18cebaef361f885cb2ebebfa1742"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.3299",
    "kind": "arxiv",
    "version": 1
  }
}