Pith Number

pith:5GBHMMMP

pith:2018:5GBHMMMPMJY3VZUNR32RMCNUAZ

not attested not anchored not stored refs pending

Preferential attachment graphs with co-existing types of different fitnesses

Jonathan Jordan

arxiv:1803.08728 v2 · 2018-03-23 · 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{5GBHMMMPMJY3VZUNR32RMCNUAZ}

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	2026-05-18T00:06:25.042307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e98276318f6271bae68d8ef51609b4067ea6cecaee319ec21575bd6fb86d3342

Aliases

arxiv: 1803.08728 · arxiv_version: 1803.08728v2 · doi: 10.48550/arxiv.1803.08728 · pith_short_12: 5GBHMMMPMJY3 · pith_short_16: 5GBHMMMPMJY3VZUN · pith_short_8: 5GBHMMMP

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/5GBHMMMPMJY3VZUNR32RMCNUAZ \
  | 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: e98276318f6271bae68d8ef51609b4067ea6cecaee319ec21575bd6fb86d3342

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aeca132aed00d8d051ac7d70cb73f25554efc63a8a9e5219018cafcd83fd9378",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-03-23T10:46:28Z",
    "title_canon_sha256": "a9b554766d7adc4691fb65912fc31e7a6ed18bc0c71c6a2866950a6cfa8b6ea5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.08728",
    "kind": "arxiv",
    "version": 2
  }
}