Pith Number

pith:YHPPITMB

pith:2012:YHPPITMB3PEBYLQPBMMRFUT6WL

not attested not anchored not stored refs pending

On the Hyperbolicity of Small-World and Tree-Like Random Graphs

Guangda Hu, Michael W. Mahoney, Wei Chen, Wenjie Fang

arxiv:1201.1717 v3 · 2012-01-09 · cs.SI · cs.DM · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YHPPITMB3PEBYLQPBMMRFUT6WL}

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	2026-05-18T03:13:22.012782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1def44d81dbc81c2e0f0b1912d27eb2dd2f4bd1625e327bfa0a8b15a2f5b08b

Aliases

arxiv: 1201.1717 · arxiv_version: 1201.1717v3 · doi: 10.48550/arxiv.1201.1717 · pith_short_12: YHPPITMB3PEB · pith_short_16: YHPPITMB3PEBYLQP · pith_short_8: YHPPITMB

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/YHPPITMB3PEBYLQPBMMRFUT6WL \
  | 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: c1def44d81dbc81c2e0f0b1912d27eb2dd2f4bd1625e327bfa0a8b15a2f5b08b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e21f4c50cf5c5db274b4857419755f6dc49f7ea1dded950b338e89db7373b575",
    "cross_cats_sorted": [
      "cs.DM",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2012-01-09T09:30:38Z",
    "title_canon_sha256": "b3f2c66171932c30af37b86fb5c694b2207c3b9b8cd830618fce716a333483cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1717",
    "kind": "arxiv",
    "version": 3
  }
}