Pith Number

pith:IDXC5KUW

pith:2016:IDXC5KUWISPJOR566B565E6HOR

not attested not anchored not stored refs pending

Symbolic powers of cover ideal of very well-covered and bipartite graphs

S. A. Seyed Fakhari

arxiv:1604.00654 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{IDXC5KUWISPJOR566B565E6HOR}

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	2026-05-18T01:17:48.771457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40ee2eaa96449e9747bef07bee93c7747c718d05430a6fb0457ac8ec7d7e9d2a

Aliases

arxiv: 1604.00654 · arxiv_version: 1604.00654v1 · doi: 10.48550/arxiv.1604.00654 · pith_short_12: IDXC5KUWISPJ · pith_short_16: IDXC5KUWISPJOR56 · pith_short_8: IDXC5KUW

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/IDXC5KUWISPJOR566B565E6HOR \
  | 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: 40ee2eaa96449e9747bef07bee93c7747c718d05430a6fb0457ac8ec7d7e9d2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "277d2244043a70372d2ba1d328d0a7d0c39ae8a920dec1ee4cf87fd9178ef865",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-04-03T16:59:25Z",
    "title_canon_sha256": "94f1e973a5721789d9a98f0dab76d8799a1abab16a5f3eecf93f8663d60fb9ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00654",
    "kind": "arxiv",
    "version": 1
  }
}