Pith Number

pith:6E6O5IF3

pith:2011:6E6O5IF3ZQCAPT6MFPSJMEG4JC

not attested not anchored not stored refs pending

Large deviations of empirical measures of zeros on Riemann surfaces

S. Zelditch

arxiv:1101.0417 v1 · 2011-01-02 · 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{6E6O5IF3ZQCAPT6MFPSJMEG4JC}

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	2026-05-18T03:34:46.515761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f13ceea0bbcc0407cfcc2be49610dc488fe60052b1d16f1935714df3183bf811

Aliases

arxiv: 1101.0417 · arxiv_version: 1101.0417v1 · doi: 10.48550/arxiv.1101.0417 · pith_short_12: 6E6O5IF3ZQCA · pith_short_16: 6E6O5IF3ZQCAPT6M · pith_short_8: 6E6O5IF3

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/6E6O5IF3ZQCAPT6MFPSJMEG4JC \
  | 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: f13ceea0bbcc0407cfcc2be49610dc488fe60052b1d16f1935714df3183bf811

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3eaf6da92063e324a49fc58f9d818ee65e1145599579a2ed24043c6ab0b68fd",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-01-02T17:20:02Z",
    "title_canon_sha256": "15457eab8c2c65eebfa218890e4b6b0432eb43dd514f524aa4382a6dede9f845"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0417",
    "kind": "arxiv",
    "version": 1
  }
}