Pith Number

pith:ZGA7BDUK

pith:2007:ZGA7BDUK2LSRXRTXNUVSZCP6M2

not attested not anchored not stored refs pending

The exact asymptotic of the collision time tail distribution for independent Brownian particles with different drifts

Tomasz Rolski, Zbigniew Pucha{\l}a

arxiv:0704.0215 v1 · 2007-04-02 · 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{ZGA7BDUK2LSRXRTXNUVSZCP6M2}

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	2026-05-18T04:16:10.908096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c981f08e8ad2e51bc6776d2b2c89fe66bb7ba6e816f0f0573679f301c97ec08d

Aliases

arxiv: 0704.0215 · arxiv_version: 0704.0215v1 · doi: 10.48550/arxiv.0704.0215 · pith_short_12: ZGA7BDUK2LSR · pith_short_16: ZGA7BDUK2LSRXRTX · pith_short_8: ZGA7BDUK

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/ZGA7BDUK2LSRXRTXNUVSZCP6M2 \
  | 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: c981f08e8ad2e51bc6776d2b2c89fe66bb7ba6e816f0f0573679f301c97ec08d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7eb6280b237a0ed07ce2b14a966008fcd93bd4f179bdf16b54b193f3a4d8f68a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-04-02T15:27:17Z",
    "title_canon_sha256": "fbe8193f0059758d37b9ba0f8e3be03955ac075a2718f438394c093a59a1c75d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.0215",
    "kind": "arxiv",
    "version": 1
  }
}