Pith Number

pith:5BBP6UVH

pith:2016:5BBP6UVHOK4HVONZK5RNDF4NSR

not attested not anchored not stored refs pending

Depth, Stanley depth and regularity of ideals associated to graphs

S. A. Seyed Fakhari

arxiv:1604.00656 v1 · 2016-04-03 · 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{5BBP6UVHOK4HVONZK5RNDF4NSR}

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	2026-05-18T01:17:48.762265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e842ff52a772b87ab9b95762d1978d947e9e48dccf9c162b594f5a7944bbdb67

Aliases

arxiv: 1604.00656 · arxiv_version: 1604.00656v1 · doi: 10.48550/arxiv.1604.00656 · pith_short_12: 5BBP6UVHOK4H · pith_short_16: 5BBP6UVHOK4HVONZ · pith_short_8: 5BBP6UVH

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/5BBP6UVHOK4HVONZK5RNDF4NSR \
  | 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: e842ff52a772b87ab9b95762d1978d947e9e48dccf9c162b594f5a7944bbdb67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e83cf7489a0aa7fc725f415519be86ea84379aaef75c997ed0e0bd86883cbb2a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-04-03T17:05:07Z",
    "title_canon_sha256": "5d3a5efce5fbbd78c8e8b042c11f7f5945ea0b05e433555543f6ce8fedbc681f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00656",
    "kind": "arxiv",
    "version": 1
  }
}