Pith Number

pith:2BRTGZHS

pith:2013:2BRTGZHSN2STT22VTRFQHMZSQU

not attested not anchored not stored refs pending

Subgraph Frequencies: Mapping the Empirical and Extremal Geography of Large Graph Collections

Johan Ugander, Jon Kleinberg, Lars Backstrom

arxiv:1304.1548 v2 · 2013-04-04 · cs.SI · 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{2BRTGZHSN2STT22VTRFQHMZSQU}

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	2026-05-18T03:25:45.637003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0633364f26ea539eb559c4b03b3328512ba36fad57718dc0ffa4306223f8f12

Aliases

arxiv: 1304.1548 · arxiv_version: 1304.1548v2 · doi: 10.48550/arxiv.1304.1548 · pith_short_12: 2BRTGZHSN2ST · pith_short_16: 2BRTGZHSN2STT22V · pith_short_8: 2BRTGZHS

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/2BRTGZHSN2STT22VTRFQHMZSQU \
  | 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: d0633364f26ea539eb559c4b03b3328512ba36fad57718dc0ffa4306223f8f12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf37fc5b0c7b58294d6f19730b2313d1479fe58aad6a4a7f93eb9fba6211140e",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2013-04-04T20:00:40Z",
    "title_canon_sha256": "537339a60e3f8045e1f9feee94d67ddc25db85cd83c8e21f0d9e682156d98ec4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1548",
    "kind": "arxiv",
    "version": 2
  }
}