Pith Number

pith:S3KRJNQL

pith:2015:S3KRJNQLJJUZZKY6WCMJHHVMZO

not attested not anchored not stored refs pending

On the parallel sum of positive operators, forms, and functionals

Zsigmond Tarcsay

arxiv:1501.01922 v1 · 2015-01-08 · 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{S3KRJNQLJJUZZKY6WCMJHHVMZO}

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	2026-05-18T02:29:46.011028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96d514b60b4a699cab1eb098939eaccbb3f4cc43ad3017b4654b7cee4fa6c143

Aliases

arxiv: 1501.01922 · arxiv_version: 1501.01922v1 · doi: 10.48550/arxiv.1501.01922 · pith_short_12: S3KRJNQLJJUZ · pith_short_16: S3KRJNQLJJUZZKY6 · pith_short_8: S3KRJNQL

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/S3KRJNQLJJUZZKY6WCMJHHVMZO \
  | 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: 96d514b60b4a699cab1eb098939eaccbb3f4cc43ad3017b4654b7cee4fa6c143

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e945cdb8225c34426b43ba2693bdd3875297954f82f3a239437e9686aa8b5ec7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-01-08T18:39:09Z",
    "title_canon_sha256": "9bd6eefa2d855284c48081ee0273188c30042583db2daaa6defff189ef73dbc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01922",
    "kind": "arxiv",
    "version": 1
  }
}