Pith Number

pith:5GINY3ND

pith:2011:5GINY3NDMK5UM24LOXLMGLUJ5W

not attested not anchored not stored refs pending

Decompositions of Binomial Ideals in Macaulay 2

Thomas Kahle

arxiv:1106.5968 v1 · 2011-06-29 · 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{5GINY3NDMK5UM24LOXLMGLUJ5W}

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	2026-05-18T01:17:35.481613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e990dc6da362bb466b8b75d6c32e89edb701903a4eeeba453cee8fb344cf87a2

Aliases

arxiv: 1106.5968 · arxiv_version: 1106.5968v1 · doi: 10.48550/arxiv.1106.5968 · pith_short_12: 5GINY3NDMK5U · pith_short_16: 5GINY3NDMK5UM24L · pith_short_8: 5GINY3ND

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/5GINY3NDMK5UM24LOXLMGLUJ5W \
  | 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: e990dc6da362bb466b8b75d6c32e89edb701903a4eeeba453cee8fb344cf87a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9d8262da37c6494bfb45492af75262da9d52f2fdaade99b947387e83ae0779c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-06-29T15:18:43Z",
    "title_canon_sha256": "6d40c687620fcde4998165376d1e25935d66b95b2db8ebdaf65925533783eebc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5968",
    "kind": "arxiv",
    "version": 1
  }
}