Pith Number

pith:I2UIL23O

pith:2025:I2UIL23OI6MIOJNYDX3QWAM7W2

not attested not anchored not stored refs pending

A random recursive tree model with doubling events

C\'ecile Mailler, Jakob E. Bj\"ornberg

arxiv:2501.18466 v3 · 2025-01-30 · 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{I2UIL23OI6MIOJNYDX3QWAM7W2}

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	2026-06-19T16:11:09.687956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46a885eb6e47988725b81df70b019fb680bf8dc3ac2a6a195bd765ffd34aca55

Aliases

arxiv: 2501.18466 · arxiv_version: 2501.18466v3 · doi: 10.48550/arxiv.2501.18466 · pith_short_12: I2UIL23OI6MI · pith_short_16: I2UIL23OI6MIOJNY · pith_short_8: I2UIL23O

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/I2UIL23OI6MIOJNYDX3QWAM7W2 \
  | 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: 46a885eb6e47988725b81df70b019fb680bf8dc3ac2a6a195bd765ffd34aca55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d6d3a94cf1280a96c3de09fa0cecbf4e30a68eef397fb181ec66b6df173330a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-01-30T16:35:33Z",
    "title_canon_sha256": "5f628182ce9a09642e546f4056d1d683f248a42e0bda16e47afa9e162bddb0c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.18466",
    "kind": "arxiv",
    "version": 3
  }
}