Pith Number

pith:FYZV2CWN

pith:2010:FYZV2CWNBIOVN7R72HO3FKC2O3

not attested not anchored not stored refs pending

Addendum to "Energies of zeros of random sections on Riemann surfaces" [arXiv:0705.2000]. Indiana Univ. Math. J. 57 (2008), no. 4, 1753-1780

Qi Zhong, S. Zelditch

arxiv:1009.4239 v1 · 2010-09-22 · 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{FYZV2CWNBIOVN7R72HO3FKC2O3}

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	2026-05-18T03:51:25.812084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e335d0acd0a1d56fe3fd1ddb2a85a76de4abe613e0364aef9086aa3d7871723

Aliases

arxiv: 1009.4239 · arxiv_version: 1009.4239v1 · doi: 10.48550/arxiv.1009.4239 · pith_short_12: FYZV2CWNBIOV · pith_short_16: FYZV2CWNBIOVN7R7 · pith_short_8: FYZV2CWN

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/FYZV2CWNBIOVN7R72HO3FKC2O3 \
  | 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: 2e335d0acd0a1d56fe3fd1ddb2a85a76de4abe613e0364aef9086aa3d7871723

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93fbd4a5df7b123dea3d9080b2395c566fb7606b23e95f93a65bdc8d29aba982",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-22T00:55:26Z",
    "title_canon_sha256": "27f0b5c24b5a39ea18d996c0fdd6e1615cd972b36de4806b2290917f4296bcfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4239",
    "kind": "arxiv",
    "version": 1
  }
}