Pith Number

pith:MDTRJZWQ

pith:2012:MDTRJZWQHPRVVKF6EIR7VITDGM

not attested not anchored not stored refs pending

Optimal Paths in Large Deviations of Symmetric Reflected Brownian Motion in the Octant

John J. Hasenbein, Ziyu Liang

arxiv:1208.1971 v2 · 2012-08-09 · 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{MDTRJZWQHPRVVKF6EIR7VITDGM}

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	2026-05-18T03:34:59.246574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60e714e6d03be35aa8be2223faa263333c05727316305955313e0ae038b91108

Aliases

arxiv: 1208.1971 · arxiv_version: 1208.1971v2 · doi: 10.48550/arxiv.1208.1971 · pith_short_12: MDTRJZWQHPRV · pith_short_16: MDTRJZWQHPRVVKF6 · pith_short_8: MDTRJZWQ

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/MDTRJZWQHPRVVKF6EIR7VITDGM \
  | 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: 60e714e6d03be35aa8be2223faa263333c05727316305955313e0ae038b91108

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "208381cfea7b2a16df7fd0cba796fa276919fbcbb0e57f684aa83e9a5d067070",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-09T17:14:09Z",
    "title_canon_sha256": "75124edf1d58ec1b481ebebacba01b4d03982ccde24bc4b4b72805b2857ac06c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1971",
    "kind": "arxiv",
    "version": 2
  }
}