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Pith Number

pith:MCKDVC2E

pith:2015:MCKDVC2E4TWKTFJCANI5CVKP7L
not attested not anchored not stored refs pending

From transience to recurrence with Poisson tree frogs

Christopher Hoffman, Matthew Junge, Tobias Johnson

arxiv:1501.05874 v3 · 2015-01-23 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MCKDVC2E4TWKTFJCANI5CVKP7L}

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 2026-05-18T01:12:01.870749Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

60943a8b44e4eca995220351d1554fface24c1a681ca25a74673b93972b5655e

Aliases

arxiv: 1501.05874 · arxiv_version: 1501.05874v3 · doi: 10.48550/arxiv.1501.05874 · pith_short_12: MCKDVC2E4TWK · pith_short_16: MCKDVC2E4TWKTFJC · pith_short_8: MCKDVC2E
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MCKDVC2E4TWKTFJCANI5CVKP7L \
  | 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: 60943a8b44e4eca995220351d1554fface24c1a681ca25a74673b93972b5655e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "103fb65ed7681efa6327e204002c9a0bc8f2a4d6e41a796d4f41a7d4758e9e5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-23T17:06:04Z",
    "title_canon_sha256": "a26833453894b54da8fd5acca30f4500bb7f33a6e4a95512b273ab81ea022dff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05874",
    "kind": "arxiv",
    "version": 3
  }
}