Pith Number

pith:LZ47LGPD

pith:2009:LZ47LGPDCFDCWQEBVUDWOKQMIK

not attested not anchored not stored refs pending

Appearance of vertices of infinite order in a model of random trees

Sigurdur O. Stefansson, Thordur Jonsson

arxiv:0908.3847 v1 · 2009-08-26 · cond-mat.stat-mech · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LZ47LGPDCFDCWQEBVUDWOKQMIK}

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	2026-05-18T02:12:22.651456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e79f599e311462b4081ad07672a0c42a79e3a12513d84e6c9f1e3eff85c31da

Aliases

arxiv: 0908.3847 · arxiv_version: 0908.3847v1 · doi: 10.48550/arxiv.0908.3847 · pith_short_12: LZ47LGPDCFDC · pith_short_16: LZ47LGPDCFDCWQEB · pith_short_8: LZ47LGPD

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/LZ47LGPDCFDCWQEBVUDWOKQMIK \
  | 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: 5e79f599e311462b4081ad07672a0c42a79e3a12513d84e6c9f1e3eff85c31da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7973c926205612349de1116e4fbf4825a60110ef351d7891e9c51dc71c53e70",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-08-26T15:03:46Z",
    "title_canon_sha256": "64fba4b3ef95dd4030155f63347f9cbafdd816c0a1e90e0d7b1858d071aec64e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3847",
    "kind": "arxiv",
    "version": 1
  }
}