Pith Number

pith:ULYYL2A4

pith:2014:ULYYL2A4HEE3EI4EVKSUB2N7R3

not attested not anchored not stored refs pending

Recurrence and transience for the frog model on trees

Christopher Hoffman, Matthew Junge, Tobias Johnson

arxiv:1404.6238 v6 · 2014-04-24 · 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{ULYYL2A4HEE3EI4EVKSUB2N7R3}

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	2026-05-18T00:24:10.674648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2f185e81c3909b22384aaa540e9bf8ecd63d10e269a1c0f276671f6d6270321

Aliases

arxiv: 1404.6238 · arxiv_version: 1404.6238v6 · doi: 10.48550/arxiv.1404.6238 · pith_short_12: ULYYL2A4HEE3 · pith_short_16: ULYYL2A4HEE3EI4E · pith_short_8: ULYYL2A4

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/ULYYL2A4HEE3EI4EVKSUB2N7R3 \
  | 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: a2f185e81c3909b22384aaa540e9bf8ecd63d10e269a1c0f276671f6d6270321

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c0c6aadb942f1e98f0cae7e610a98647da2ee9e41f7ebd6721a9cdd27431dbe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-04-24T19:34:45Z",
    "title_canon_sha256": "e0a0a59bb6f1e61eb21c7f018a0a75d485e1272bc4de78db782776cd473d5124"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.6238",
    "kind": "arxiv",
    "version": 6
  }
}