Pith Number

pith:HTG3GSAM

pith:2026:HTG3GSAMA6B3RI53JLOEMO62VK

not attested not anchored not stored refs pending

Distributed Symmetry Breaking on Hyperbolic Random Graphs

George Skretas, Janosch Ruff, Sonia Simons, Yannic Maus

arxiv:2607.09170 v1 · 2026-07-10 · cs.DC · 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{HTG3GSAMA6B3RI53JLOEMO62VK}

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	2026-07-13T01:18:48.271385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ccdb3480c0783b8a3bb4adc463bdaaaa140c38882c8be323ca40a6ff3e125eb

Aliases

arxiv: 2607.09170 · arxiv_version: 2607.09170v1 · doi: 10.48550/arxiv.2607.09170 · pith_short_12: HTG3GSAMA6B3 · pith_short_16: HTG3GSAMA6B3RI53 · pith_short_8: HTG3GSAM

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/HTG3GSAMA6B3RI53JLOEMO62VK \
  | 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: 3ccdb3480c0783b8a3bb4adc463bdaaaa140c38882c8be323ca40a6ff3e125eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a50521cdc453c0feecf8c9ad6cff2fb21f2a930afd025778ca460186c766b27a",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2026-07-10T07:57:15Z",
    "title_canon_sha256": "ad4d31a41716301cea813aed94d52e4affe9f842befc37698d25c79bfdb5b11a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09170",
    "kind": "arxiv",
    "version": 1
  }
}