Pith Number

pith:ER65JIQW

pith:2014:ER65JIQW6XFYV6RPFFSJUT7QV4

not attested not anchored not stored refs pending

$L^2$-Serre duality on singular complex spaces and rational singularities

Jean Ruppenthal

arxiv:1401.4563 v5 · 2014-01-18 · 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{ER65JIQW6XFYV6RPFFSJUT7QV4}

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	2026-05-18T01:18:18.607892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

247dd4a216f5cb8afa2f29649a4ff0af3d615e64701b95921692e0909f39c891

Aliases

arxiv: 1401.4563 · arxiv_version: 1401.4563v5 · doi: 10.48550/arxiv.1401.4563 · pith_short_12: ER65JIQW6XFY · pith_short_16: ER65JIQW6XFYV6RP · pith_short_8: ER65JIQW

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/ER65JIQW6XFYV6RPFFSJUT7QV4 \
  | 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: 247dd4a216f5cb8afa2f29649a4ff0af3d615e64701b95921692e0909f39c891

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c616b5e0900ac10322579ace398d7874f8dd9b78c56df0b30500c056372e1628",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-01-18T16:56:20Z",
    "title_canon_sha256": "1b469c07e4c271ecc96a94f25b3655313ba04b8bfbbb7d97d8d32a1e990b6598"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4563",
    "kind": "arxiv",
    "version": 5
  }
}