Pith Number

pith:XHZ6JDWF

pith:2011:XHZ6JDWFFZ7CKVDDPCISUGODUC

not attested not anchored not stored refs pending

Depth of initial ideals of normal edge rings

Akihiro Higashitani, Augustine B. O'Keefe, Kyouko Kimura, Takayuki Hibi

arxiv:1101.4058 v1 · 2011-01-21 · 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{XHZ6JDWFFZ7CKVDDPCISUGODUC}

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	2026-05-18T04:31:12.787418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9f3e48ec52e7e25546378912a19c3a08fb3a979dc8070d3cdb29d918c25ceab

Aliases

arxiv: 1101.4058 · arxiv_version: 1101.4058v1 · doi: 10.48550/arxiv.1101.4058 · pith_short_12: XHZ6JDWFFZ7C · pith_short_16: XHZ6JDWFFZ7CKVDD · pith_short_8: XHZ6JDWF

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/XHZ6JDWFFZ7CKVDDPCISUGODUC \
  | 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: b9f3e48ec52e7e25546378912a19c3a08fb3a979dc8070d3cdb29d918c25ceab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9418537b87a700dc2e79fd7f4bcf3a67deb4d4a64dfa52b99b0a1775fbcccd2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-01-21T01:20:43Z",
    "title_canon_sha256": "1944c8d4f37102bd4c5c556038edb7af6ecb9b491d07cbeee34c056c6b3578a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4058",
    "kind": "arxiv",
    "version": 1
  }
}