Pith Number

pith:QWZVRQK7

pith:2026:QWZVRQK75LLWR3RSGTZ5ZAN3MQ

not attested not anchored not stored refs pending

Breadth-First Search in Succinct Planar Graphs

Johannes Meintrup

arxiv:2607.06221 v1 · 2026-07-07 · cs.DS · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QWZVRQK75LLWR3RSGTZ5ZAN3MQ}

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	2026-07-08T01:19:18.193936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85b358c15fead768ee3234f3dc81bb641110f99b85d90bf7d8c525417d2ddc49

Aliases

arxiv: 2607.06221 · arxiv_version: 2607.06221v1 · doi: 10.48550/arxiv.2607.06221 · pith_short_12: QWZVRQK75LLW · pith_short_16: QWZVRQK75LLWR3RS · pith_short_8: QWZVRQK7

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/QWZVRQK75LLWR3RSGTZ5ZAN3MQ \
  | 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: 85b358c15fead768ee3234f3dc81bb641110f99b85d90bf7d8c525417d2ddc49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49b916bd3f993250f6faaf8b83f724fdf9cba7cb0ee8d38be935b9de6cb276f5",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-07-07T12:45:03Z",
    "title_canon_sha256": "6dcbac2e466b444fd4c71a554585eda965ddaacafae3516238484c3dcf5291c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06221",
    "kind": "arxiv",
    "version": 1
  }
}