Pith Number

pith:OTKAHH2F

pith:2011:OTKAHH2FLGX2ZQANGYV45AXZKQ

not attested not anchored not stored refs pending

Absolute continuity of Brownian bridges under certain gauge transformations

Andrea R. Nahmod, Gigliola Staffilani, Luc Rey-Bellet, Scott Sheffield

arxiv:1103.4822 v1 · 2011-03-24 · math.AP · math.CA · 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{OTKAHH2FLGX2ZQANGYV45AXZKQ}

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	2026-05-18T04:26:00.823572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74d4039f4559afacc00d362bce82f9541b5d691086b89a398771fb6fef36a147

Aliases

arxiv: 1103.4822 · arxiv_version: 1103.4822v1 · doi: 10.48550/arxiv.1103.4822 · pith_short_12: OTKAHH2FLGX2 · pith_short_16: OTKAHH2FLGX2ZQAN · pith_short_8: OTKAHH2F

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/OTKAHH2FLGX2ZQANGYV45AXZKQ \
  | 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: 74d4039f4559afacc00d362bce82f9541b5d691086b89a398771fb6fef36a147

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22476cfc7609ac827caaba64125e14aee1d1bf425c656eb08ba46a2396e31759",
    "cross_cats_sorted": [
      "math.CA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-03-24T18:09:02Z",
    "title_canon_sha256": "721dba42215e558e5c5c5c1fe5e30bc54c2942fe23b565de7dba0248fc4f9331"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4822",
    "kind": "arxiv",
    "version": 1
  }
}