Pith Number

pith:BB4B2DF5

pith:2014:BB4B2DF5AI3R7MHQC6PVHLKWR5

not attested not anchored not stored refs pending

A Lower Bound For Depths of Powers of Edge Ideals

Louiza Fouli, Susan Morey

arxiv:1409.7020 v2 · 2014-09-24 · 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{BB4B2DF5AI3R7MHQC6PVHLKWR5}

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	2026-05-18T02:04:00.216820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08781d0cbd02371fb0f0179f53ad568f5890caea1f7717f03d4ec2a204540bcf

Aliases

arxiv: 1409.7020 · arxiv_version: 1409.7020v2 · doi: 10.48550/arxiv.1409.7020 · pith_short_12: BB4B2DF5AI3R · pith_short_16: BB4B2DF5AI3R7MHQ · pith_short_8: BB4B2DF5

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/BB4B2DF5AI3R7MHQC6PVHLKWR5 \
  | 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: 08781d0cbd02371fb0f0179f53ad568f5890caea1f7717f03d4ec2a204540bcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "520be096fec0fa2e78c670542c4fb5819e97bca6df73cfffdf940544569c43ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-09-24T16:58:07Z",
    "title_canon_sha256": "07256a032fc468f8b3f68ef1149bea9487a82a468786c3e991be048d54bb77ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7020",
    "kind": "arxiv",
    "version": 2
  }
}