Pith Number

pith:JQPEOCFW

pith:2016:JQPEOCFWHMUNWF5UJI3VPMFMR4

not attested not anchored not stored refs pending

Structural Transitions in Dense Networks

P. L. Krapivsky, R. Lambiotte, S. Redner, U. Bhat

arxiv:1607.03850 v1 · 2016-07-13 · physics.soc-ph · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JQPEOCFWHMUNWF5UJI3VPMFMR4}

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	2026-05-18T00:57:11.708754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c1e4708b63b28db17b44a3757b0ac8f33089a68555ab24c6259d2a20030f632

Aliases

arxiv: 1607.03850 · arxiv_version: 1607.03850v1 · doi: 10.48550/arxiv.1607.03850 · pith_short_12: JQPEOCFWHMUN · pith_short_16: JQPEOCFWHMUNWF5U · pith_short_8: JQPEOCFW

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/JQPEOCFWHMUNWF5UJI3VPMFMR4 \
  | 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: 4c1e4708b63b28db17b44a3757b0ac8f33089a68555ab24c6259d2a20030f632

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a8314372d4a98d4928f44a5ac9abb5341f1e66a55e6e246548e0682abe1d0d8",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2016-07-13T18:16:40Z",
    "title_canon_sha256": "3583ef82883d9ff076d443275de53fe160b286e68f48cdb09db635ef3aab2620"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03850",
    "kind": "arxiv",
    "version": 1
  }
}