Pith Number

pith:D6PXWPSL

pith:2012:D6PXWPSL4R2ZCR7MFDBZDI3S2K

not attested not anchored not stored refs pending

Betti numbers of random real hypersurfaces and determinants of random symmetric matrices

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

arxiv:1207.1579 v1 · 2012-07-06 · math.AG · math.CV · 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{D6PXWPSL4R2ZCR7MFDBZDI3S2K}

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	2026-05-18T03:51:36.800652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f9f7b3e4be4759147ec28c391a372d2b32cb398eb890174f0b1b466949e989a

Aliases

arxiv: 1207.1579 · arxiv_version: 1207.1579v1 · doi: 10.48550/arxiv.1207.1579 · pith_short_12: D6PXWPSL4R2Z · pith_short_16: D6PXWPSL4R2ZCR7M · pith_short_8: D6PXWPSL

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/D6PXWPSL4R2ZCR7MFDBZDI3S2K \
  | 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: 1f9f7b3e4be4759147ec28c391a372d2b32cb398eb890174f0b1b466949e989a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33e1b09ac32c9c823a5963ed653d3a92c905e937e49a0e8b2993d2e4d049d97b",
    "cross_cats_sorted": [
      "math.CV",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-06T10:58:22Z",
    "title_canon_sha256": "84c6740ce7c92eb75a50a75a8f0b27a12a8a818d70fd948c15d5683022a1b751"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1579",
    "kind": "arxiv",
    "version": 1
  }
}