Pith Number

pith:XDYBV3DK

pith:2025:XDYBV3DKLSJP6Z7WR2KSL2FYEM

not attested not anchored not stored refs pending

On the speed of coming down from infinity for subcritical branching processes with pairwise interactions

Gabriel Berzunza Ojeda, Juan Carlos Pardo

arxiv:2501.06684 v3 · 2025-01-12 · 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{XDYBV3DKLSJP6Z7WR2KSL2FYEM}

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	2026-05-22T01:04:53.223685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8f01aec6a5c92ff67f68e9525e8b82327f8e0aa2d920c0fd68a97cbf1f42561

Aliases

arxiv: 2501.06684 · arxiv_version: 2501.06684v3 · doi: 10.48550/arxiv.2501.06684 · pith_short_12: XDYBV3DKLSJP · pith_short_16: XDYBV3DKLSJP6Z7W · pith_short_8: XDYBV3DK

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/XDYBV3DKLSJP6Z7WR2KSL2FYEM \
  | 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: b8f01aec6a5c92ff67f68e9525e8b82327f8e0aa2d920c0fd68a97cbf1f42561

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f60f743e9bc278f0e15c7f0e66ddac0da84911e7826ff04003758ec7a474fc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-01-12T02:22:04Z",
    "title_canon_sha256": "03688f73245079146aab8467a960bcb3cd6f5362d7c5cd6e6072bab8b4a121be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.06684",
    "kind": "arxiv",
    "version": 3
  }
}