Pith Number

pith:I47A2SEC

pith:2014:I47A2SECNS56AKNADDBWTD7BNG

not attested not anchored not stored refs pending

Structural Sparsity of Complex Networks: Bounded Expansion in Random Models and Real-World Graphs

Blair D. Sullivan, Erik D. Demaine, Felix Reidl, Fernando Sanchez Villaamil, Peter Rossmanith, Somnath Sikdar

arxiv:1406.2587 v6 · 2014-06-10 · cs.SI · cs.DM · cs.DS · 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{I47A2SECNS56AKNADDBWTD7BNG}

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	2026-05-18T00:03:34.685007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

473e0d48826cbbe029a018c3698fe169b46636703f700f6f245a84c2727d03be

Aliases

arxiv: 1406.2587 · arxiv_version: 1406.2587v6 · doi: 10.48550/arxiv.1406.2587 · pith_short_12: I47A2SECNS56 · pith_short_16: I47A2SECNS56AKNA · pith_short_8: I47A2SEC

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/I47A2SECNS56AKNADDBWTD7BNG \
  | 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: 473e0d48826cbbe029a018c3698fe169b46636703f700f6f245a84c2727d03be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8daf9858496c22fedf9c27ee1d5321423a867db8be0c4003e62b79be5150037",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2014-06-10T15:21:18Z",
    "title_canon_sha256": "cdbff00eb8b6267bf89121f82b248c09ef9b9591a13a16cc867a5aa667bde6f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.2587",
    "kind": "arxiv",
    "version": 6
  }
}