Pith Number

pith:ZVXXLLPY

pith:2010:ZVXXLLPYWMP6LBA3PLTAVFDBUE

not attested not anchored not stored refs pending

Hyperbolic Geometry of Complex Networks

Amin Vahdat, Dmitri Krioukov, Fragkiskos Papadopoulos, Maksim Kitsak, Marian Boguna

arxiv:1006.5169 v2 · 2010-06-26 · cond-mat.stat-mech · cond-mat.dis-nn · cs.NI · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZVXXLLPYWMP6LBA3PLTAVFDBUE}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:41:04.909521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd6f75adf8b31fe5841b7ae60a9461a10fdd0cb68a14c6021c4904e06bdc3e9f

Aliases

arxiv: 1006.5169 · arxiv_version: 1006.5169v2 · doi: 10.48550/arxiv.1006.5169 · pith_short_12: ZVXXLLPYWMP6 · pith_short_16: ZVXXLLPYWMP6LBA3 · pith_short_8: ZVXXLLPY

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/ZVXXLLPYWMP6LBA3PLTAVFDBUE \
  | 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: cd6f75adf8b31fe5841b7ae60a9461a10fdd0cb68a14c6021c4904e06bdc3e9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fce41d71e3cc2dbb1cca2adeee20507c91be2a3fcfd5a4886812a1465a3adef5",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.NI",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-06-26T21:46:32Z",
    "title_canon_sha256": "a48a547cac2aaa56151318ea648d01de3d78ac898414eface7a5a06610e9f0bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5169",
    "kind": "arxiv",
    "version": 2
  }
}