Pith Number

pith:HZGL7B7H

pith:2009:HZGL7B7HSHIJHN5MTTPPD65ETY

not attested not anchored not stored refs pending

Decompositions of Binomial Ideals

Thomas Kahle

arxiv:0906.4873 v3 · 2009-06-26 · 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{HZGL7B7HSHIJHN5MTTPPD65ETY}

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	2026-05-18T01:17:35.549193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e4cbf87e791d093b7ac9cdef1fba49e38e8a1aef8c7a9ee1b5f8cd42f631699

Aliases

arxiv: 0906.4873 · arxiv_version: 0906.4873v3 · doi: 10.48550/arxiv.0906.4873 · pith_short_12: HZGL7B7HSHIJ · pith_short_16: HZGL7B7HSHIJHN5M · pith_short_8: HZGL7B7H

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/HZGL7B7HSHIJHN5MTTPPD65ETY \
  | 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: 3e4cbf87e791d093b7ac9cdef1fba49e38e8a1aef8c7a9ee1b5f8cd42f631699

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "946e939cb6b3d2e1bd86edfe100614e106111187414e67a60f7552ff810faae7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2009-06-26T13:24:12Z",
    "title_canon_sha256": "78d4da4bbb59ee1c3ac33c1b7fa82eecc6161f32303d522518105160b92d38b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4873",
    "kind": "arxiv",
    "version": 3
  }
}