Pith Number

pith:TMXEMHOH

pith:2011:TMXEMHOHUXU7LSS75L6ACXV47Y

not attested not anchored not stored refs pending

Finite lattices and Gr\"obner bases

J\"urgen Herzog, Takayuki Hibi

arxiv:1109.4067 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{TMXEMHOHUXU7LSS75L6ACXV47Y}

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	2026-05-18T04:12:45.275604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b2e461dc7a5e9f5ca5feafc015ebcfe06fc2ab99406deb3fe78faeed4fd6174

Aliases

arxiv: 1109.4067 · arxiv_version: 1109.4067v1 · doi: 10.48550/arxiv.1109.4067 · pith_short_12: TMXEMHOHUXU7 · pith_short_16: TMXEMHOHUXU7LSS7 · pith_short_8: TMXEMHOH

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/TMXEMHOHUXU7LSS75L6ACXV47Y \
  | 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: 9b2e461dc7a5e9f5ca5feafc015ebcfe06fc2ab99406deb3fe78faeed4fd6174

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d5d7cb04e910f5e492305b4989b19e89d3ac9a5f2811ab1d756b162b3e7cefb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-09-19T15:48:01Z",
    "title_canon_sha256": "e73b55729406316e2072967d75fd854660f36dfc94edbce5da5dffc09769e3f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4067",
    "kind": "arxiv",
    "version": 1
  }
}