Pith Number

pith:NYT2OLFA

pith:2012:NYT2OLFA7VY4YT2AQDPYGYYOQD

not attested not anchored not stored refs pending

Expansion in high dimension for the growth constants of lattice trees and lattice animals

Gordon Slade, Yuri Mejia Miranda

arxiv:1208.3513 v2 · 2012-08-16 · 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{NYT2OLFA7VY4YT2AQDPYGYYOQD}

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	2026-05-18T02:21:01.056487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e27a72ca0fd71cc4f4080df83630e80e6caadf0549d7e82bc57876279892b33

Aliases

arxiv: 1208.3513 · arxiv_version: 1208.3513v2 · doi: 10.48550/arxiv.1208.3513 · pith_short_12: NYT2OLFA7VY4 · pith_short_16: NYT2OLFA7VY4YT2A · pith_short_8: NYT2OLFA

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/NYT2OLFA7VY4YT2AQDPYGYYOQD \
  | 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: 6e27a72ca0fd71cc4f4080df83630e80e6caadf0549d7e82bc57876279892b33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c94fff2139637cf7356623725cfcefd83ed482fb01cd4b71411fee45f7f41f8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-16T23:48:42Z",
    "title_canon_sha256": "a13c031fecd5a3e700be8cf0eae76dd7120c60706a41026d0919a761243a0e23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3513",
    "kind": "arxiv",
    "version": 2
  }
}