Pith Number

pith:K7BPZ5QS

pith:2017:K7BPZ5QS2CJ2MN35OQ2SBATJ3R

not attested not anchored not stored refs pending

Veto Interval Graphs and Variations

Breeann Flesch, Dana Lapides, Gregory J. Puleo, Jessica Kawana, Joshua D. Laison, Stephanie Partlow

arxiv:1709.09259 v2 · 2017-09-26 · 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{K7BPZ5QS2CJ2MN35OQ2SBATJ3R}

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	2026-05-18T00:09:42.060618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57c2fcf612d093a6377d7435208269dc4c7338798145f8f710d0c54710838662

Aliases

arxiv: 1709.09259 · arxiv_version: 1709.09259v2 · doi: 10.48550/arxiv.1709.09259 · pith_short_12: K7BPZ5QS2CJ2 · pith_short_16: K7BPZ5QS2CJ2MN35 · pith_short_8: K7BPZ5QS

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/K7BPZ5QS2CJ2MN35OQ2SBATJ3R \
  | 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: 57c2fcf612d093a6377d7435208269dc4c7338798145f8f710d0c54710838662

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59f5c3aff88ba3495823364ab5d30fd2f2c04fe0f0e5eece44e35f0b305d8c30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-26T20:58:44Z",
    "title_canon_sha256": "543bcab27b5d74076a46867e7e4e6be3575f67e5d4bedac541a7152e6c80195c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09259",
    "kind": "arxiv",
    "version": 2
  }
}