Pith Number

pith:CCWQICGD

pith:2011:CCWQICGDYLIJC4JEYMKUFXC7RT

not attested not anchored not stored refs pending

Random Riesz energies on compact K\"{a}hler manifolds

Renjie Feng, Steve Zelditch

arxiv:1112.3993 v1 · 2011-12-16 · 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{CCWQICGDYLIJC4JEYMKUFXC7RT}

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	2026-05-18T03:01:33.581022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10ad0408c3c2d0917124c31542dc5f8cde9784c39e123d8ca86f6da82d161296

Aliases

arxiv: 1112.3993 · arxiv_version: 1112.3993v1 · doi: 10.48550/arxiv.1112.3993 · pith_short_12: CCWQICGDYLIJ · pith_short_16: CCWQICGDYLIJC4JE · pith_short_8: CCWQICGD

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/CCWQICGDYLIJC4JEYMKUFXC7RT \
  | 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: 10ad0408c3c2d0917124c31542dc5f8cde9784c39e123d8ca86f6da82d161296

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "616c7029278acbc75e6456c4f21d5fc684d2bb5337ca69736ad8ad1cc94aafe4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-16T22:56:16Z",
    "title_canon_sha256": "f3faa6912ee4583fc7e85d1d1ed57e2f5b308506aa3d6b22bacb99fcf8d34295"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3993",
    "kind": "arxiv",
    "version": 1
  }
}