Pith Number

pith:SDCAJ3F4

pith:2011:SDCAJ3F47JVRBSTZ2XIYRRU3CW

not attested not anchored not stored refs pending

Large Deviations for Brownian Intersection Measures

Chiranjib Mukherjee, Wolfgang Koenig

arxiv:1105.1063 v2 · 2011-05-05 · 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{SDCAJ3F47JVRBSTZ2XIYRRU3CW}

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	2026-05-18T03:51:23.870606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90c404ecbcfa6b10ca79d5d188c69b1597c5ae426edf614cee5ba40801c8ff57

Aliases

arxiv: 1105.1063 · arxiv_version: 1105.1063v2 · doi: 10.48550/arxiv.1105.1063 · pith_short_12: SDCAJ3F47JVR · pith_short_16: SDCAJ3F47JVRBSTZ · pith_short_8: SDCAJ3F4

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/SDCAJ3F47JVRBSTZ2XIYRRU3CW \
  | 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: 90c404ecbcfa6b10ca79d5d188c69b1597c5ae426edf614cee5ba40801c8ff57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a37abb3af121c979934d45e7aca6050268220698c81175afe09aca17066c08c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-05-05T13:14:37Z",
    "title_canon_sha256": "a239128dcbe7c51048787547a2dafd6bd1cf7152e4b918c4c56502b292183932"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1063",
    "kind": "arxiv",
    "version": 2
  }
}