Pith Number

pith:GL2XCWQM

pith:2016:GL2XCWQMZA4MJYTJELQHIWZNDA

not attested not anchored not stored refs pending

On the probability of hitting the boundary for Brownian motions on the SABR plane

Antoine Jacquier, Archil Gulisashvili, Blanka Horvath

arxiv:1610.05636 v1 · 2016-10-18 · 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{GL2XCWQMZA4MJYTJELQHIWZNDA}

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	2026-05-18T01:01:58.778017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32f5715a0cc838c4e26922e0745b2d182ac410504fef8a498dd3a39b113164fb

Aliases

arxiv: 1610.05636 · arxiv_version: 1610.05636v1 · doi: 10.48550/arxiv.1610.05636 · pith_short_12: GL2XCWQMZA4M · pith_short_16: GL2XCWQMZA4MJYTJ · pith_short_8: GL2XCWQM

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/GL2XCWQMZA4MJYTJELQHIWZNDA \
  | 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: 32f5715a0cc838c4e26922e0745b2d182ac410504fef8a498dd3a39b113164fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cd4f6a373a5130ae88112ba51cbda4d567995c3cb7bbc1e567069245a0ddba9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-18T14:29:38Z",
    "title_canon_sha256": "7573277c6d32b358902ba677b51bd31d647faba0576589d1c11f153edfdd659f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05636",
    "kind": "arxiv",
    "version": 1
  }
}