Pith Number

pith:URF2OPET

pith:2011:URF2OPETHDMH6QVG77WJL6HMUT

not attested not anchored not stored refs pending

Degree distribution in the lower levels of the uniform recursive tree

\'Agnes Backhausz, Tam\'as F. M\'ori

arxiv:1112.1250 v1 · 2011-12-06 · 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{URF2OPETHDMH6QVG77WJL6HMUT}

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	2026-05-18T04:06:55.913455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a44ba73c9338d87f42a6ffec95f8eca4fbed06a4c3afd470978d4e0e562cc5b1

Aliases

arxiv: 1112.1250 · arxiv_version: 1112.1250v1 · doi: 10.48550/arxiv.1112.1250 · pith_short_12: URF2OPETHDMH · pith_short_16: URF2OPETHDMH6QVG · pith_short_8: URF2OPET

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/URF2OPETHDMH6QVG77WJL6HMUT \
  | 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: a44ba73c9338d87f42a6ffec95f8eca4fbed06a4c3afd470978d4e0e562cc5b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ddff6225186fbc9e7eb50e7e87522c66b62d36fa98d9f709962ac4d1f98d2f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-06T12:24:48Z",
    "title_canon_sha256": "5ad3b12e3207091bce77f1cf1579b134a5d437b04424a6756740d80bbc80ad2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1250",
    "kind": "arxiv",
    "version": 1
  }
}