Pith Number

pith:M75DJOUH

pith:2010:M75DJOUH3A32ODKFBUAP2UZ2LY

not attested not anchored not stored refs pending

Entropy and Hausdorff Dimension in Random Growing Trees

Anna Rudas, Imre P\'eter T\'oth

arxiv:1004.0977 v2 · 2010-04-06 · 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{M75DJOUH3A32ODKFBUAP2UZ2LY}

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	2026-05-18T03:53:07.289340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67fa34ba87d837a70d450d00fd533a5e086d2359019a8ce2d99b9197e0d8650d

Aliases

arxiv: 1004.0977 · arxiv_version: 1004.0977v2 · doi: 10.48550/arxiv.1004.0977 · pith_short_12: M75DJOUH3A32 · pith_short_16: M75DJOUH3A32ODKF · pith_short_8: M75DJOUH

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/M75DJOUH3A32ODKFBUAP2UZ2LY \
  | 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: 67fa34ba87d837a70d450d00fd533a5e086d2359019a8ce2d99b9197e0d8650d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17a02104e6e7a92f1d91b43bbd114c18480b39b9c3e7baebc1788899f2291644",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-04-06T21:38:30Z",
    "title_canon_sha256": "998404c155f41e9d483a7fa0c7c13d81c1e73b9f71bbf513560187544a5d5864"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0977",
    "kind": "arxiv",
    "version": 2
  }
}