Pith Number

pith:YSA7IDVG

pith:2007:YSA7IDVGCPNNF55QXNNJWXYOGK

not attested not anchored not stored refs pending

Positive sesquilinear form measures and generalized eigenvalue expansions

Juha-Pekka Pellonp\"a\"a, Kari Ylinen, Tuomas Hyt\"onen

arxiv:math/0703589 v1 · 2007-03-20 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YSA7IDVGCPNNF55QXNNJWXYOGK}

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	2026-05-18T01:38:23.177743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c481f40ea613dad2f7b0bb5a9b5f0e32a8d275baf0dc9b5e520ef2f60092b884

Aliases

arxiv: math/0703589 · arxiv_version: math/0703589v1 · doi: 10.48550/arxiv.math/0703589 · pith_short_12: YSA7IDVGCPNN · pith_short_16: YSA7IDVGCPNNF55Q · pith_short_8: YSA7IDVG

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/YSA7IDVGCPNNF55QXNNJWXYOGK \
  | 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: c481f40ea613dad2f7b0bb5a9b5f0e32a8d275baf0dc9b5e520ef2f60092b884

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a90b74cb8bd95346699270f399edeb7494b7d106aeb50ddb13af45004c847001",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2007-03-20T13:42:35Z",
    "title_canon_sha256": "4d7665b4488a2ab73529a6ee007e324aa6ad3efa1436e599e334686862e67e2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703589",
    "kind": "arxiv",
    "version": 1
  }
}