Pith Number

pith:QLUR6QRE

pith:2003:QLUR6QREXGL35HJOJKZK6ZGZTK

not attested not anchored not stored refs pending

Boundary Trace of Reflecting Brownian Motions

Itai Benjamini, Steffen Rohde, Zhen-Qing Chen

arxiv:math/0307310 v1 · 2003-07-23 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QLUR6QREXGL35HJOJKZK6ZGZTK}

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	2026-07-04T14:37:37.141966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82e91f4224b997be9d2e4ab2af64d99aa3bd3d9c5aecd413629367142db2e0e8

Aliases

arxiv: math/0307310 · arxiv_version: math/0307310v1 · doi: 10.48550/arxiv.math/0307310 · pith_short_12: QLUR6QREXGL3 · pith_short_16: QLUR6QREXGL35HJO · pith_short_8: QLUR6QRE

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/QLUR6QREXGL35HJOJKZK6ZGZTK \
  | 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: 82e91f4224b997be9d2e4ab2af64d99aa3bd3d9c5aecd413629367142db2e0e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e04e0d762d0a2139de2ce2f0d03f11091c823a2a54964ff21ab56059652a48c0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2003-07-23T09:07:32Z",
    "title_canon_sha256": "1f4f8c85d654e69f420ef6d022c9d3b6bb2165af410d8c31985f8d9a6ee64a85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0307310",
    "kind": "arxiv",
    "version": 1
  }
}