Pith Number

pith:VDRI6TBA

pith:2026:VDRI6TBAP5YS75WD4VGDIM454D

not attested not anchored not stored refs pending

Token sliding independent set reconfiguration on graphs with few $P_4$'s

Lucia Busolini, Mario Valencia-Pabon

arxiv:2606.31815 v1 · 2026-06-30 · cs.DS · 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{VDRI6TBAP5YS75WD4VGDIM454D}

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	2026-07-01T01:18:16.461221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8e28f4c207f712ff6c3e54c34339de0fb93e5281d8090fd279677807daa9919

Aliases

arxiv: 2606.31815 · arxiv_version: 2606.31815v1 · doi: 10.48550/arxiv.2606.31815 · pith_short_12: VDRI6TBAP5YS · pith_short_16: VDRI6TBAP5YS75WD · pith_short_8: VDRI6TBA

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/VDRI6TBAP5YS75WD4VGDIM454D \
  | 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: a8e28f4c207f712ff6c3e54c34339de0fb93e5281d8090fd279677807daa9919

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ec34cc57ce3e0b5c2794ffaf1ed465e5663963b339b68c57dadd43fba64b832",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-06-30T15:28:00Z",
    "title_canon_sha256": "146c68670ff0a1e4c25c2d235157ce9e47cb2fa0ec61ad90f9e5a90c1cd84923"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31815",
    "kind": "arxiv",
    "version": 1
  }
}