Pith Number

pith:FRTPKD4C

pith:2012:FRTPKD4CLYGU2PVUIGJPQU7EZB

not attested not anchored not stored refs pending

Spatial preferential attachment networks: Power laws and clustering coefficients

Emmanuel Jacob, Peter M\"orters

arxiv:1210.3830 v2 · 2012-10-14 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FRTPKD4CLYGU2PVUIGJPQU7EZB}

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	2026-05-18T02:22:30.261765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c66f50f825e0d4d3eb44192f853e4c842d9ccdb52c59548e6e4e47be1e6598f

Aliases

arxiv: 1210.3830 · arxiv_version: 1210.3830v2 · doi: 10.48550/arxiv.1210.3830 · pith_short_12: FRTPKD4CLYGU · pith_short_16: FRTPKD4CLYGU2PVU · pith_short_8: FRTPKD4C

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/FRTPKD4CLYGU2PVUIGJPQU7EZB \
  | 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: 2c66f50f825e0d4d3eb44192f853e4c842d9ccdb52c59548e6e4e47be1e6598f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3cbb43d8f1adf70b45063abdbac72f80fb674401d9805d53d14f0df434229ef",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-14T20:14:16Z",
    "title_canon_sha256": "7afbada766f3b1614ebdeaf48c57801bfee48515a74e13f06035a5505fc133dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3830",
    "kind": "arxiv",
    "version": 2
  }
}