Pith Number

pith:3RBG2TLR

pith:2005:3RBG2TLRQSEQCZN7NJWCH44V3W

not attested not anchored not stored refs pending

A Capture Problem in Brownian Motion and Eigenvalues of Spherical Domains

Andrejs Treibergs, Jesse Ratzkin

arxiv:math/0505274 v1 · 2005-05-12 · math.PR · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3RBG2TLRQSEQCZN7NJWCH44V3W}

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	2026-05-18T01:21:33.126665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc426d4d7184890165bf6a6c23f395dd9c375a373d9bcb18888f8c8fd8fe8e2c

Aliases

arxiv: math/0505274 · arxiv_version: math/0505274v1 · doi: 10.48550/arxiv.math/0505274 · pith_short_12: 3RBG2TLRQSEQ · pith_short_16: 3RBG2TLRQSEQCZN7 · pith_short_8: 3RBG2TLR

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/3RBG2TLRQSEQCZN7NJWCH44V3W \
  | 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: dc426d4d7184890165bf6a6c23f395dd9c375a373d9bcb18888f8c8fd8fe8e2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9942e71c72c3e263a1ab9029fedcbf4bd11e2528b3b2ae2f0600de7629b79da2",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-05-12T19:29:57Z",
    "title_canon_sha256": "ec83e3c3f71bb94c1b11288d5044ea13279c182ea8ad9956a28d19225c8bffd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505274",
    "kind": "arxiv",
    "version": 1
  }
}