Pith Number

pith:2P3DFU4L

pith:2025:2P3DFU4LJKEJO4T7SBCN4RIQXL

not attested not anchored not stored refs pending

Asymptotics of survival probabilities and lower tail probability problem

Sergei Levendorski\u{i}, Svetlana Boyarchenko

arxiv:2501.04218 v1 · 2025-01-08 · 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{2P3DFU4LJKEJO4T7SBCN4RIQXL}

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	2026-07-05T09:58:31.958937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3f632d38b4a8897727f9044de4510baf1ee61bce5922a8323d0a157fd6e4c7c

Aliases

arxiv: 2501.04218 · arxiv_version: 2501.04218v1 · doi: 10.48550/arxiv.2501.04218 · pith_short_12: 2P3DFU4LJKEJ · pith_short_16: 2P3DFU4LJKEJO4T7 · pith_short_8: 2P3DFU4L

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/2P3DFU4LJKEJO4T7SBCN4RIQXL \
  | 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: d3f632d38b4a8897727f9044de4510baf1ee61bce5922a8323d0a157fd6e4c7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d75c52444d1ccaf03b436e6fb88e2401b7ed5abf5ae0501f79d4d1bbe4cfa2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-01-08T01:30:07Z",
    "title_canon_sha256": "738483c009f261b364d198bbcf898b31022ce2b02d9684317b8bb3ef5c442ba3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.04218",
    "kind": "arxiv",
    "version": 1
  }
}