Pith Number

pith:WNTRVBQA

pith:2011:WNTRVBQAREEFWKWUQZKKEWGH3F

not attested not anchored not stored refs pending

Longtime Behavior for Mutually Catalytic Branching with Negative Correlations

Leif Doering, Leonid Mytnik

arxiv:1109.6105 v2 · 2011-09-28 · 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{WNTRVBQAREEFWKWUQZKKEWGH3F}

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	2026-05-18T04:05:48.206365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3671a860089085b2ad48654a258c7d976c831c9c6204d0eba5f5c03c61fdc3f

Aliases

arxiv: 1109.6105 · arxiv_version: 1109.6105v2 · doi: 10.48550/arxiv.1109.6105 · pith_short_12: WNTRVBQAREEF · pith_short_16: WNTRVBQAREEFWKWU · pith_short_8: WNTRVBQA

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/WNTRVBQAREEFWKWUQZKKEWGH3F \
  | 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: b3671a860089085b2ad48654a258c7d976c831c9c6204d0eba5f5c03c61fdc3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41e46663f445f592a2b5d1403cfbf5c4e4733602e3ee19e6ea5d396de6f972e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-28T05:52:08Z",
    "title_canon_sha256": "930b8799ff292aed7a40d1871dc2b6edf0a1d60590d06c485257d9902462c9e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6105",
    "kind": "arxiv",
    "version": 2
  }
}