Pith Number

pith:VV7G4AZX

pith:2012:VV7G4AZXUD6K7OJYDFYFEYDBKH

not attested not anchored not stored refs pending

Monomial ideals whose depth function has any given number of strict local maxima

J\"urgen Herzog, Somayeh Bandari, Takayuki Hibi

arxiv:1205.1348 v1 · 2012-05-07 · 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{VV7G4AZXUD6K7OJYDFYFEYDBKH}

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	2026-05-18T01:57:37.422562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad7e6e0337a0fcafb938197052606151e2a718dbb408d04c55142927a7627bdc

Aliases

arxiv: 1205.1348 · arxiv_version: 1205.1348v1 · doi: 10.48550/arxiv.1205.1348 · pith_short_12: VV7G4AZXUD6K · pith_short_16: VV7G4AZXUD6K7OJY · pith_short_8: VV7G4AZX

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/VV7G4AZXUD6K7OJYDFYFEYDBKH \
  | 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: ad7e6e0337a0fcafb938197052606151e2a718dbb408d04c55142927a7627bdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6798030ae684f0b4fb23d7c1a504133a045aadb68435a4117e37cc4801fc0b45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-05-07T11:38:50Z",
    "title_canon_sha256": "cf70dcce217b603c4409ac5a181a150a3bafb0a3340edc09c3818ff9aacd4622"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1348",
    "kind": "arxiv",
    "version": 1
  }
}