Pith Number

pith:ZBTXNET7

pith:2014:ZBTXNET7VI2VJJ7YPZ4T42553L

not attested not anchored not stored refs pending

Betti numbers of random nodal sets of elliptic pseudo-differential operators

Damien Gayet (IF), Jean-Yves Welschinger (ICJ)

arxiv:1406.0934 v1 · 2014-06-04 · math.SP · 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{ZBTXNET7VI2VJJ7YPZ4T42553L}

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	2026-05-18T02:50:30.730148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c86776927faa3554a7f87e793e6bbddae22f1eeb7c876dbb8d8a761546c7228b

Aliases

arxiv: 1406.0934 · arxiv_version: 1406.0934v1 · doi: 10.48550/arxiv.1406.0934 · pith_short_12: ZBTXNET7VI2V · pith_short_16: ZBTXNET7VI2VJJ7Y · pith_short_8: ZBTXNET7

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/ZBTXNET7VI2VJJ7YPZ4T42553L \
  | 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: c86776927faa3554a7f87e793e6bbddae22f1eeb7c876dbb8d8a761546c7228b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71e49e3d25c4ece780ad07b139428d96d203cdf4492229c080d02bb410d0c8c6",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-06-04T03:59:36Z",
    "title_canon_sha256": "635b2d291ecbced981d8fefa565e53d3a671638862d46fb790f4567ffcdadc6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0934",
    "kind": "arxiv",
    "version": 1
  }
}