Pith Number

pith:PHFSFQS5

pith:2015:PHFSFQS54A25SXZGA7GJPS6AYK

not attested not anchored not stored refs pending

Phase transitions for scaling of structural correlations in directed networks

Nelly Litvak, Pim van der Hoorn

arxiv:1504.01535 v2 · 2015-04-07 · physics.soc-ph · cs.SI · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHFSFQS54A25SXZGA7GJPS6AYK}

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	2026-05-18T01:35:30.470117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79cb22c25de035d95f2607cc97cbc0c29b49e66589752ab5ed02d187c14b07e8

Aliases

arxiv: 1504.01535 · arxiv_version: 1504.01535v2 · doi: 10.48550/arxiv.1504.01535 · pith_short_12: PHFSFQS54A25 · pith_short_16: PHFSFQS54A25SXZG · pith_short_8: PHFSFQS5

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/PHFSFQS54A25SXZGA7GJPS6AYK \
  | 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: 79cb22c25de035d95f2607cc97cbc0c29b49e66589752ab5ed02d187c14b07e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12c574c833cc8568b1392e607a9765c85aa133fc3288738aff217c63ba40a788",
    "cross_cats_sorted": [
      "cs.SI",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2015-04-07T09:41:39Z",
    "title_canon_sha256": "9107c6b0de895968a770f0b0cc3c72c862ba8e37ac6f5bc3deada3b30eb70c27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01535",
    "kind": "arxiv",
    "version": 2
  }
}