Pith Number

pith:R7O2Z6QE

pith:2011:R7O2Z6QET5JFRHZUOI4TEWZKNS

not attested not anchored not stored refs pending

Stable limit laws for randomly biased walks on supercritical trees

Alan Hammond

arxiv:1101.4043 v3 · 2011-01-20 · 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{R7O2Z6QET5JFRHZUOI4TEWZKNS}

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	2026-05-18T03:56:35.444104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fddacfa049f52589f347239325b2a6c942f74699f5028994bff00ee8d57758d

Aliases

arxiv: 1101.4043 · arxiv_version: 1101.4043v3 · doi: 10.48550/arxiv.1101.4043 · pith_short_12: R7O2Z6QET5JF · pith_short_16: R7O2Z6QET5JFRHZU · pith_short_8: R7O2Z6QE

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/R7O2Z6QET5JFRHZUOI4TEWZKNS \
  | 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: 8fddacfa049f52589f347239325b2a6c942f74699f5028994bff00ee8d57758d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07a66aafbbf11cc12bf393570b437dbcf913820fa790530762fda57c3b7bae84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-01-20T22:36:33Z",
    "title_canon_sha256": "ad0776526603f3d303e0c2e61d194cde0528ccc3544f4b02488c626c5fb3a688"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4043",
    "kind": "arxiv",
    "version": 3
  }
}