Pith Number

pith:A6ZCPO4Q

pith:2024:A6ZCPO4QAA4DH5THGFIWUZBJ3T

not attested not anchored not stored refs pending

Balanced Bidirectional Breadth-First Search on Scale-Free Networks

Benjamin Dayan, Johannes Lengler, Marc Kaufmann, Sacha Cerf, Ulysse Schaller, Umberto De Ambroggio

arxiv:2410.22186 v1 · 2024-10-29 · cs.SI · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A6ZCPO4QAA4DH5THGFIWUZBJ3T}

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

Distributed Symmetry Breaking on Hyperbolic Random Graphs

Receipt and verification

First computed	2026-07-05T09:28:05.268010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07b227bb90003833f66731516a6429dcfdd6677a88b4e5ae85c2ffe5ff707d4f

Aliases

arxiv: 2410.22186 · arxiv_version: 2410.22186v1 · doi: 10.48550/arxiv.2410.22186 · pith_short_12: A6ZCPO4QAA4D · pith_short_16: A6ZCPO4QAA4DH5TH · pith_short_8: A6ZCPO4Q

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/A6ZCPO4QAA4DH5THGFIWUZBJ3T \
  | 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: 07b227bb90003833f66731516a6429dcfdd6677a88b4e5ae85c2ffe5ff707d4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b36ed8815f2f380a3c16caeecc742a89943a1136ad15d9ee464bb1eca7910a3",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2024-10-29T16:24:39Z",
    "title_canon_sha256": "64f6fa488aea695fd434b6d0858a9f3f01bc7434f91b023e55bb18c0b0bcb045"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.22186",
    "kind": "arxiv",
    "version": 1
  }
}