Pith Number

pith:3LYWIS5X

pith:2014:3LYWIS5XNZL7RXMOLINMAB4CQJ

not attested not anchored not stored refs pending

Multiple singular values of Hankel operators

Patrick Gerard (LM-Orsay), Sandrine Grellier (MAPMO)

arxiv:1402.1716 v1 · 2014-02-07 · math.AP · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3LYWIS5XNZL7RXMOLINMAB4CQJ}

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	2026-05-18T02:59:46.174156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daf1644bb76e57f8dd8e5a1ac00782826a3c6e577a9518992b7788d794337639

Aliases

arxiv: 1402.1716 · arxiv_version: 1402.1716v1 · doi: 10.48550/arxiv.1402.1716 · pith_short_12: 3LYWIS5XNZL7 · pith_short_16: 3LYWIS5XNZL7RXMO · pith_short_8: 3LYWIS5X

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/3LYWIS5XNZL7RXMOLINMAB4CQJ \
  | 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: daf1644bb76e57f8dd8e5a1ac00782826a3c6e577a9518992b7788d794337639

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8e6c27fa868aa836e63101299db32bbe31cb4ead3a791db56ad67279542aa59",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-02-07T17:43:40Z",
    "title_canon_sha256": "4610fc013c65e253080695a071ba09ac524a032dec15a16fbabbcae71ba1f17a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1716",
    "kind": "arxiv",
    "version": 1
  }
}