Pith Number

pith:2ENOC4FC

pith:2015:2ENOC4FCAYG56W65YLVXG4VTMD

not attested not anchored not stored refs pending

A note on graphs with characteristic-dependent well-covered dimension

Joseph Burdick, Oscar Vega

arxiv:1506.00180 v1 · 2015-05-31 · 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{2ENOC4FCAYG56W65YLVXG4VTMD}

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	2026-05-18T01:59:55.282252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d11ae170a2060ddf5bddc2eb7372b360fa435738e7391c9f166848c30f7c4cf2

Aliases

arxiv: 1506.00180 · arxiv_version: 1506.00180v1 · doi: 10.48550/arxiv.1506.00180 · pith_short_12: 2ENOC4FCAYG5 · pith_short_16: 2ENOC4FCAYG56W65 · pith_short_8: 2ENOC4FC

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/2ENOC4FCAYG56W65YLVXG4VTMD \
  | 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: d11ae170a2060ddf5bddc2eb7372b360fa435738e7391c9f166848c30f7c4cf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a899b0df6f92534d6d208200374ded7c09ae435a1c4d38daa26032d48fbff4a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-05-31T00:29:09Z",
    "title_canon_sha256": "ae9ca4c60d22b96e67886eacf48051b81e6096a769f0e67a4d71b5c4cb3962e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00180",
    "kind": "arxiv",
    "version": 1
  }
}