Pith Number

pith:5FATG7WK

pith:2026:5FATG7WKLA3FXU2TGLLC722V44

not attested not anchored not stored refs pending

Weighted Book Thickness

Alexandra Weinberger, Henry F\"orster, Johannes Zink, Maria Eleni Pavlidi, Michael Hoffmann, Stephen Kobourov

arxiv:2607.24375 v1 · 2026-07-27 · cs.CG · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FATG7WKLA3FXU2TGLLC722V44}

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	2026-07-28T02:23:59.879559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e941337eca58365bd35332d62feb55e70853e5ba74752b9f6e064d924d331976

Aliases

arxiv: 2607.24375 · arxiv_version: 2607.24375v1 · doi: 10.48550/arxiv.2607.24375 · pith_short_12: 5FATG7WKLA3F · pith_short_16: 5FATG7WKLA3FXU2T · pith_short_8: 5FATG7WK

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/5FATG7WKLA3FXU2TGLLC722V44 \
  | 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: e941337eca58365bd35332d62feb55e70853e5ba74752b9f6e064d924d331976

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9efd4d9999dae146db378dca41798f001397de37fb40675271b1207ff00ba57",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2026-07-27T12:51:47Z",
    "title_canon_sha256": "990f37ae6f0161d14f1aac57d33ca069a7cbe379e41bedc61bfdf38a4e84cd43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24375",
    "kind": "arxiv",
    "version": 1
  }
}