Pith Number

pith:OBMXWDBQ

pith:2023:OBMXWDBQFMZPKECB2HNQYD26E5

not attested not anchored not stored refs pending

Behaviors of pairs of dimensions and depths of edge ideals

Akane Kanno, Akihiro Higashitani, Ryota Ueji

arxiv:2301.04763 v2 · 2023-01-11 · math.AC · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OBMXWDBQFMZPKECB2HNQYD26E5}

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	2026-07-05T05:33:23.825230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70597b0c302b32f51041d1db0c0f5e275cb719a83b8743a8d2e9f2ace3c7c69d

Aliases

arxiv: 2301.04763 · arxiv_version: 2301.04763v2 · doi: 10.48550/arxiv.2301.04763 · pith_short_12: OBMXWDBQFMZP · pith_short_16: OBMXWDBQFMZPKECB · pith_short_8: OBMXWDBQ

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/OBMXWDBQFMZPKECB2HNQYD26E5 \
  | 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: 70597b0c302b32f51041d1db0c0f5e275cb719a83b8743a8d2e9f2ace3c7c69d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c22f8f9489f86135bc551cb6a92eede46f13da35e30a4ea391d42c51a1d8401",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2023-01-11T23:54:01Z",
    "title_canon_sha256": "2eb3e5b0b4df42171788688b6ec8e10bfac3bc3ccaf5cf433b96aa1fec38370e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.04763",
    "kind": "arxiv",
    "version": 2
  }
}