Pith Number

pith:PHXJJAH3

pith:2011:PHXJJAH3LVAWNVLD47CWGX37LY

not attested not anchored not stored refs pending

Random trees with superexponential branching weights

Sigurdur Orn Stefansson, Svante Janson, Thordur Jonsson

arxiv:1104.2810 v1 · 2011-04-14 · math-ph · math.MP · 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{PHXJJAH3LVAWNVLD47CWGX37LY}

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	2026-05-18T02:02:28.888233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79ee9480fb5d4166d563e7c5635f7f5e32e59ce337e3848a3603a2fa769657ea

Aliases

arxiv: 1104.2810 · arxiv_version: 1104.2810v1 · doi: 10.48550/arxiv.1104.2810 · pith_short_12: PHXJJAH3LVAW · pith_short_16: PHXJJAH3LVAWNVLD · pith_short_8: PHXJJAH3

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/PHXJJAH3LVAWNVLD47CWGX37LY \
  | 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: 79ee9480fb5d4166d563e7c5635f7f5e32e59ce337e3848a3603a2fa769657ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87839fb6439e17549ae6b0810471bc1a68fcb251afa67381e6c0ab6259e2b216",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-04-14T15:53:42Z",
    "title_canon_sha256": "6bc4eea0bfa4c576990f07876da22cf2e14b4f29bd63a737fde1f76fc0276a62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2810",
    "kind": "arxiv",
    "version": 1
  }
}