Pith Number

pith:S4QF6LLM

pith:2013:S4QF6LLM2H6KX7EWWLKU275H47

not attested not anchored not stored refs pending

The phase transition in inhomogeneous random intersection graphs

Allon G. Percus, Aric Hagberg, Milan Bradonji\'c, Nathan Lemons, Nicolas W. Hengartner

arxiv:1301.7320 v1 · 2013-01-30 · cs.DM · math.CO · 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{S4QF6LLM2H6KX7EWWLKU275H47}

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	2026-05-18T03:35:00.590395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97205f2d6cd1fcabfc96b2d54d7fa7e7ec2561c124e6551f8796e2549c3b7812

Aliases

arxiv: 1301.7320 · arxiv_version: 1301.7320v1 · doi: 10.48550/arxiv.1301.7320 · pith_short_12: S4QF6LLM2H6K · pith_short_16: S4QF6LLM2H6KX7EW · pith_short_8: S4QF6LLM

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/S4QF6LLM2H6KX7EWWLKU275H47 \
  | 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: 97205f2d6cd1fcabfc96b2d54d7fa7e7ec2561c124e6551f8796e2549c3b7812

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9e2585709dfc5a5690a12e77230af86eb35c993b7b68d88434dd38600e4407d",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-01-30T18:31:21Z",
    "title_canon_sha256": "dcef88effec60ef16a61c90730e1bc36d81a744aa45c121da773d58d5405f40c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7320",
    "kind": "arxiv",
    "version": 1
  }
}