Pith Number

pith:ZGDARY4J

pith:2026:ZGDARY4JQH7JEUAUNWWO6EE7HD

not attested not anchored not stored refs pending

A Rank-Count Theory for the Combinatorial Discretizable Distance Geometry Problem

Carlile Lavor, Michael Souza, Wagner da Rocha

arxiv:2607.27213 v1 · 2026-06-01 · math.MG · 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{ZGDARY4JQH7JEUAUNWWO6EE7HD}

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	2026-07-31T00:10:20.391875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

c98608e38981fe9250146dacef109f38c54174fdce67ff4af19cb46d400b072e

Aliases

arxiv: 2607.27213 · arxiv_version: 2607.27213v1 · doi: 10.48550/arxiv.2607.27213 · pith_short_12: ZGDARY4JQH7J · pith_short_16: ZGDARY4JQH7JEUAU · pith_short_8: ZGDARY4J

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/ZGDARY4JQH7JEUAUNWWO6EE7HD \
  | 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: c98608e38981fe9250146dacef109f38c54174fdce67ff4af19cb46d400b072e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "566680cbf20196cf17780a72148b6274743b27b27ce47d6c97f519ac8859e44f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-06-01T07:42:14Z",
    "title_canon_sha256": "d8d4589a1174992fc3d22923fc4fd0b152a5a9a5a5f82b78b4dd32ed4bd7d994"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27213",
    "kind": "arxiv",
    "version": 1
  }
}