Pith Number

pith:3HWXLBPC

pith:2026:3HWXLBPCY7VIBR55VMXXTQ7UZD

not attested not anchored not stored refs pending

Sparse Relaxed Broadcast Graphs

Hovhannes Harutyunyan, Pierre Fraigniaud

arxiv:2607.07260 v1 · 2026-07-08 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3HWXLBPCY7VIBR55VMXXTQ7UZD}

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	2026-07-09T01:20:19.149878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9ed7585e2c7ea80c7bdab2f79c3f4c8d476a84a3d0169cca646381174d3107d

Aliases

arxiv: 2607.07260 · arxiv_version: 2607.07260v1 · doi: 10.48550/arxiv.2607.07260 · pith_short_12: 3HWXLBPCY7VI · pith_short_16: 3HWXLBPCY7VIBR55 · pith_short_8: 3HWXLBPC

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/3HWXLBPCY7VIBR55VMXXTQ7UZD \
  | 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: d9ed7585e2c7ea80c7bdab2f79c3f4c8d476a84a3d0169cca646381174d3107d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e1a567b5883bdf2d2eb0a73840afe0fddad6ccfd1cebc245a969fac07f048c3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2026-07-08T10:47:56Z",
    "title_canon_sha256": "d00938ba14d7ad5348864fbe9ddbf48c4fce5a655cb8b8a2da1221918876f7c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07260",
    "kind": "arxiv",
    "version": 1
  }
}