Pith Number

pith:P77MIRYQ

pith:2025:P77MIRYQYRPVUT5AGU556Y7ZSQ

not attested not anchored not stored refs pending

Random Hyperbolic Graphs with Arbitrary Mesoscale Structures

Davide Torre, Enrico Mastrostefano, Stefano Guarino

arxiv:2506.02686 v1 · 2025-06-03 · cs.SI · physics.app-ph · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P77MIRYQYRPVUT5AGU556Y7ZSQ}

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	2026-07-05T11:15:06.480796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ffec44710c45f5a4fa0353bdf63f9942b67cf33d7802c36a9cce369bd72e140

Aliases

arxiv: 2506.02686 · arxiv_version: 2506.02686v1 · doi: 10.48550/arxiv.2506.02686 · pith_short_12: P77MIRYQYRPV · pith_short_16: P77MIRYQYRPVUT5A · pith_short_8: P77MIRYQ

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/P77MIRYQYRPVUT5AGU556Y7ZSQ \
  | 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: 7ffec44710c45f5a4fa0353bdf63f9942b67cf33d7802c36a9cce369bd72e140

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "804f53dc9a4cdb92debd475a5c9d283530960af71b29c0d6a8f5ff4a8ba431c8",
    "cross_cats_sorted": [
      "physics.app-ph",
      "physics.data-an"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2025-06-03T09:40:03Z",
    "title_canon_sha256": "20c32ac91800d606885fbe2e238b0adab06a788c22e75813f6e4f4bfe535380b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02686",
    "kind": "arxiv",
    "version": 1
  }
}