Pith Number

pith:PTB3UKM2

pith:2011:PTB3UKM2RZZHQPRCWIG2UVWXDX

not attested not anchored not stored refs pending

Syzygy Theorems via Comparison of Order Ideals on a Hypersurface

Alexandra Seceleanu, Phillip A. Griffith

arxiv:1106.3663 v1 · 2011-06-18 · 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{PTB3UKM2RZZHQPRCWIG2UVWXDX}

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	2026-05-18T04:19:42.492829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cc3ba299a8e72783e22b20daa56d71dfefd00cb61fe98af0690ee6bf3da7936

Aliases

arxiv: 1106.3663 · arxiv_version: 1106.3663v1 · doi: 10.48550/arxiv.1106.3663 · pith_short_12: PTB3UKM2RZZH · pith_short_16: PTB3UKM2RZZHQPRC · pith_short_8: PTB3UKM2

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/PTB3UKM2RZZHQPRCWIG2UVWXDX \
  | 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: 7cc3ba299a8e72783e22b20daa56d71dfefd00cb61fe98af0690ee6bf3da7936

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f57e5adfe9a7819b9fe77fbf96d606be815ee5c5d20ee7d967bae591a09871df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-06-18T15:48:27Z",
    "title_canon_sha256": "a969d0c6e28cb450821602a178fead4b535514a9e2863faf48985d3571066978"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3663",
    "kind": "arxiv",
    "version": 1
  }
}