Pith Number

pith:OBCVUQCN

pith:2025:OBCVUQCNCA7FAWC5PBT6C4YJ32

not attested not anchored not stored refs pending

Criticality conditions in the Derrida-Retaux model with a random number of terms

Alexey Lotnikov, Anna Kotova

arxiv:2502.02535 v1 · 2025-02-04 · 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{OBCVUQCNCA7FAWC5PBT6C4YJ32}

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	2026-07-05T10:09:29.820854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70455a404d103e50585d7867e17309dea050cb3d732ea5317ec9e8c9b83e67d1

Aliases

arxiv: 2502.02535 · arxiv_version: 2502.02535v1 · doi: 10.48550/arxiv.2502.02535 · pith_short_12: OBCVUQCNCA7F · pith_short_16: OBCVUQCNCA7FAWC5 · pith_short_8: OBCVUQCN

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/OBCVUQCNCA7FAWC5PBT6C4YJ32 \
  | 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: 70455a404d103e50585d7867e17309dea050cb3d732ea5317ec9e8c9b83e67d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fc865c0b00ae7955ca09dfb023800614925effb1e0695c340602bdbc753c82b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-02-04T18:00:02Z",
    "title_canon_sha256": "6a985f949d3ab7daf83e2c0b19d88a05ef0d4f0fb1e6b4f22c32bbd88c37a75b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.02535",
    "kind": "arxiv",
    "version": 1
  }
}