Pith Number

pith:JZZACDPE

pith:2024:JZZACDPEITP6ZZOIM72ODXQIFU

not attested not anchored not stored refs pending

Computing the EHZ capacity is NP-hard

Frank Vallentin, Karla Leipold

arxiv:2402.09914 v3 · 2024-02-15 · math.SG · cs.CC · 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{JZZACDPEITP6ZZOIM72ODXQIFU}

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.

Cited by

1 paper in Pith

An equality for balanced digraphs

Receipt and verification

First computed	2026-07-05T09:44:49.605145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e72010de444dfece5c867f4e1de082d26756367355ee62ec007f5d1cc0bce7f

Aliases

arxiv: 2402.09914 · arxiv_version: 2402.09914v3 · doi: 10.48550/arxiv.2402.09914 · pith_short_12: JZZACDPEITP6 · pith_short_16: JZZACDPEITP6ZZOI · pith_short_8: JZZACDPE

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/JZZACDPEITP6ZZOIM72ODXQIFU \
  | 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: 4e72010de444dfece5c867f4e1de082d26756367355ee62ec007f5d1cc0bce7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8a5ae94a83ad1d54b28d80636ac082c64bc00d2815e20c01d218e4069ce5679",
    "cross_cats_sorted": [
      "cs.CC",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2024-02-15T12:33:50Z",
    "title_canon_sha256": "6425fde14e0bf0e9a8400b98708a8a7de9def9caa7f52d83c95a85f40bec8932"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.09914",
    "kind": "arxiv",
    "version": 3
  }
}