Pith Number

pith:GBZUPEYS

pith:2011:GBZUPEYS7MOHWBYZ35IYUK6AYW

not attested not anchored not stored refs pending

Presentations and module bases of integer-valued polynomial rings

Jesse Elliott

arxiv:1109.3921 v1 · 2011-09-19 · 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{GBZUPEYS7MOHWBYZ35IYUK6AYW}

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	2026-05-18T04:12:45.583426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3073479312fb1c7b0719df518a2bc0c5823d20a25c415e9f1f38c3068fa2934b

Aliases

arxiv: 1109.3921 · arxiv_version: 1109.3921v1 · doi: 10.48550/arxiv.1109.3921 · pith_short_12: GBZUPEYS7MOH · pith_short_16: GBZUPEYS7MOHWBYZ · pith_short_8: GBZUPEYS

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/GBZUPEYS7MOHWBYZ35IYUK6AYW \
  | 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: 3073479312fb1c7b0719df518a2bc0c5823d20a25c415e9f1f38c3068fa2934b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95521d4892edeee5be7a6c22a7e68b8d9e4ca1b9d80e94aa5c8982800461247d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-09-19T01:54:21Z",
    "title_canon_sha256": "5fc7556e3b5230ae217ba43979ebba2a0fc0698ae910b32d9ccf1fa2eb4df10d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3921",
    "kind": "arxiv",
    "version": 1
  }
}