Pith Number

pith:OGPVAUKJ

pith:2025:OGPVAUKJPPFUOYBY47DX6CUNEJ

not attested not anchored not stored refs pending

Word-Representable Graphs and Locality of Words

Annika Huch, Jana Krei{\ss}, Kajus Park, Max Wiedenh\"oft, Pamela Fleischmann, Philipp B\"oll, Tim L\"ock

arxiv:2506.19493 v1 · 2025-06-24 · math.CO · cs.FL

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OGPVAUKJPPFUOYBY47DX6CUNEJ}

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	2026-07-05T11:26:15.991575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

719f5051497bcb476038e7c77f0a8d2255c7db3b0c047feac437438981e92271

Aliases

arxiv: 2506.19493 · arxiv_version: 2506.19493v1 · doi: 10.48550/arxiv.2506.19493 · pith_short_12: OGPVAUKJPPFU · pith_short_16: OGPVAUKJPPFUOYBY · pith_short_8: OGPVAUKJ

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/OGPVAUKJPPFUOYBY47DX6CUNEJ \
  | 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: 719f5051497bcb476038e7c77f0a8d2255c7db3b0c047feac437438981e92271

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a20afcb3de2b0faeea8a78d6ce6a83764645673304f41c766860efad410fa14f",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-24T10:27:55Z",
    "title_canon_sha256": "936d2d97f23bdfa58d9977ad4975f623d2eab6640809e96cb427a295f5433757"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.19493",
    "kind": "arxiv",
    "version": 1
  }
}