Pith Number

pith:72Q7RP4P

pith:2016:72Q7RP4PAK22TCYZV6QRRCY3MM

not attested not anchored not stored refs pending

Nonintersecting Brownian bridges between reflecting or absorbing walls

Dong Wang, Karl Liechty

arxiv:1608.08712 v1 · 2016-08-31 · 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{72Q7RP4PAK22TCYZV6QRRCY3MM}

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	2026-05-18T01:06:40.132660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fea1f8bf8f02b5a98b19afa1188b1b63260a43c575e01cf2856da1f93af7c4be

Aliases

arxiv: 1608.08712 · arxiv_version: 1608.08712v1 · doi: 10.48550/arxiv.1608.08712 · pith_short_12: 72Q7RP4PAK22 · pith_short_16: 72Q7RP4PAK22TCYZ · pith_short_8: 72Q7RP4P

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/72Q7RP4PAK22TCYZV6QRRCY3MM \
  | 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: fea1f8bf8f02b5a98b19afa1188b1b63260a43c575e01cf2856da1f93af7c4be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96d5adbd70cf33a08a70a08feb07726162389f3438a13814a19e3ba13332b100",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-08-31T02:46:44Z",
    "title_canon_sha256": "add0365dc133dd7a0853fa3ffbf99b19f4398fc62b206aa9c3a42cc28cd296b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08712",
    "kind": "arxiv",
    "version": 1
  }
}