Pith Number

pith:NGYOHLVN

pith:2017:NGYOHLVNFZEAG7ETNK34YNEVYI

not attested not anchored not stored refs pending

Infinite rate symbiotic branching on the real line: The tired frogs model

Achim Klenke, Leonid Mytnik

arxiv:1707.04317 v2 · 2017-07-13 · 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{NGYOHLVNFZEAG7ETNK34YNEVYI}

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	2026-05-17T23:51:14.849934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69b0e3aead2e48037c936ab7cc3495c20b939e105a59c8d67413cf73da7039a0

Aliases

arxiv: 1707.04317 · arxiv_version: 1707.04317v2 · doi: 10.48550/arxiv.1707.04317 · pith_short_12: NGYOHLVNFZEA · pith_short_16: NGYOHLVNFZEAG7ET · pith_short_8: NGYOHLVN

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/NGYOHLVNFZEAG7ETNK34YNEVYI \
  | 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: 69b0e3aead2e48037c936ab7cc3495c20b939e105a59c8d67413cf73da7039a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b73ceb8c6752fd5d685cb223d893c0c5d792d79a3b1d234efc42a247b0d46adb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-07-13T20:54:45Z",
    "title_canon_sha256": "58b652d1aa1f64a03ae4b919d3351680d11a90e0605b82ba8af79c8f84101bbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04317",
    "kind": "arxiv",
    "version": 2
  }
}