Pith Number

pith:JVJSGISU

pith:2024:JVJSGISUNYXRMC3AYEMMNYGTA5

not attested not anchored not stored refs pending

J-contractive operator valued functions, vector valued de Branges spaces and functional models

Bharti Garg, Santanu Sarkar

arxiv:2411.01921 v2 · 2024-11-04 · 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{JVJSGISUNYXRMC3AYEMMNYGTA5}

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	2026-07-05T11:29:51.777312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d532322546e2f160b60c118c6e0d30749ef170fa1dc60ff708f942d1cc2f421

Aliases

arxiv: 2411.01921 · arxiv_version: 2411.01921v2 · doi: 10.48550/arxiv.2411.01921 · pith_short_12: JVJSGISUNYXR · pith_short_16: JVJSGISUNYXRMC3A · pith_short_8: JVJSGISU

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/JVJSGISUNYXRMC3AYEMMNYGTA5 \
  | 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: 4d532322546e2f160b60c118c6e0d30749ef170fa1dc60ff708f942d1cc2f421

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "923e149ce15a45a2e755f2ea6fbab0579f2e2c443c95ac801a981c96f8e23260",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-11-04T09:38:15Z",
    "title_canon_sha256": "de0d0b5699025fabe9c4680d7d0646885f38c9b5d5c31f55498f1ab69aa483c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.01921",
    "kind": "arxiv",
    "version": 2
  }
}