Pith Number

pith:SHKO4BC6

pith:2010:SHKO4BC6HAP3Z7U5NJ3NI46YMX

not attested not anchored not stored refs pending

Ideals generated by adjacent 2-minors

Juergen Herzog, Takayuki Hibi

arxiv:1012.5789 v3 · 2010-12-28 · 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{SHKO4BC6HAP3Z7U5NJ3NI46YMX}

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	2026-05-18T04:31:52.086960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91d4ee045e381fbcfe9d6a76d473d865c9935e6e7a241299a9c04747d90655ef

Aliases

arxiv: 1012.5789 · arxiv_version: 1012.5789v3 · doi: 10.48550/arxiv.1012.5789 · pith_short_12: SHKO4BC6HAP3 · pith_short_16: SHKO4BC6HAP3Z7U5 · pith_short_8: SHKO4BC6

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/SHKO4BC6HAP3Z7U5NJ3NI46YMX \
  | 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: 91d4ee045e381fbcfe9d6a76d473d865c9935e6e7a241299a9c04747d90655ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4301b3af1037906828d425836bdd6707bac90e8a22a78e06dfc6b1d4f84b05c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-12-28T16:34:44Z",
    "title_canon_sha256": "e636f9b466d05d8070a5ae3cef8e3e775c4a8208f4927091cca9978e9fb5dbea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5789",
    "kind": "arxiv",
    "version": 3
  }
}