Pith Number

pith:G54LQBMN

pith:2000:G54LQBMNWSGXK32EYHTLVAGVQN

not attested not anchored not stored refs pending

The supremum of Brownian local times on Holder curves

Krzysztof Burdzy, Richard Bass

arxiv:math/0002012 v1 · 2000-02-01 · 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{G54LQBMNWSGXK32EYHTLVAGVQN}

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	2026-05-18T01:38:30.389123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3778b8058db48d756f44c1e6ba80d583663fc310f1b11c01dbee0bf9b6599dc5

Aliases

arxiv: math/0002012 · arxiv_version: math/0002012v1 · doi: 10.48550/arxiv.math/0002012 · pith_short_12: G54LQBMNWSGX · pith_short_16: G54LQBMNWSGXK32E · pith_short_8: G54LQBMN

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/G54LQBMNWSGXK32EYHTLVAGVQN \
  | 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: 3778b8058db48d756f44c1e6ba80d583663fc310f1b11c01dbee0bf9b6599dc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8181fde597386b3ad08abf9f9b8c41b8c438d794a6162fd222e72d54fccc9f6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2000-02-01T19:12:19Z",
    "title_canon_sha256": "92d1ca78ba164ebc9a6b733ce810d7fbf0a56be4d542fa32816c3a37fafb461c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0002012",
    "kind": "arxiv",
    "version": 1
  }
}