Pith Number

pith:SOKZF4MU

pith:2019:SOKZF4MUJIZMPRI6QUIGDXTXVH

not attested not anchored not stored refs pending

Competing frogs on $\mathbb{Z}^d$

Fabio Lopes, Maria Deijfen, Timo Hirscher

arxiv:1902.01849 v1 · 2019-02-05 · 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{SOKZF4MUJIZMPRI6QUIGDXTXVH}

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	2026-05-17T23:54:42.186636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

939592f1944a32c7c51e851061de77a9e7d23e2c85db63843dadc17f2717c49b

Aliases

arxiv: 1902.01849 · arxiv_version: 1902.01849v1 · doi: 10.48550/arxiv.1902.01849 · pith_short_12: SOKZF4MUJIZM · pith_short_16: SOKZF4MUJIZMPRI6 · pith_short_8: SOKZF4MU

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/SOKZF4MUJIZMPRI6QUIGDXTXVH \
  | 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: 939592f1944a32c7c51e851061de77a9e7d23e2c85db63843dadc17f2717c49b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8de9fcc05a594add54605a2df243c6e22dcecab9856386a4278a9cae0776b4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-02-05T18:48:01Z",
    "title_canon_sha256": "65b880d7486074444baf3e6246e7d35f0c780e936cc212cb833c1fa1ca65a163"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.01849",
    "kind": "arxiv",
    "version": 1
  }
}