Pith Number

pith:BKUGRBC5

pith:2013:BKUGRBC5EYZBKZ7GX33BAMAPWD

not attested not anchored not stored refs pending

Median and mean of the Supremum of $L^2$ normalized random holmorphic fields

Renjie Feng, Steve Zelditch

arxiv:1303.4096 v1 · 2013-03-17 · math.PR · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKUGRBC5EYZBKZ7GX33BAMAPWD}

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	2026-05-18T02:50:43.173723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aa868845d26321567e6bef610300fb0c7b21070252fc3d0ddc3fc93ef863ba5

Aliases

arxiv: 1303.4096 · arxiv_version: 1303.4096v1 · doi: 10.48550/arxiv.1303.4096 · pith_short_12: BKUGRBC5EYZB · pith_short_16: BKUGRBC5EYZBKZ7G · pith_short_8: BKUGRBC5

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/BKUGRBC5EYZBKZ7GX33BAMAPWD \
  | 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: 0aa868845d26321567e6bef610300fb0c7b21070252fc3d0ddc3fc93ef863ba5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8d082c068cdbc99907cb64191ffa9dd97d292d01b5d5893ea264c1562c27884",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-17T20:03:21Z",
    "title_canon_sha256": "4df6ebdcdef19d72b2e838ae3ce9645841e58bf59d9ddb36d49b875c977860d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4096",
    "kind": "arxiv",
    "version": 1
  }
}