Pith Number

pith:GT3ABBLN

pith:2015:GT3ABBLNQ5LCMME5TLA23L4ZFP

not attested not anchored not stored refs pending

Inner functions and operator theory

Isabelle Chalendar, Jonathan R. Partington, Pamela Gorkin

arxiv:1503.05461 v1 · 2015-03-18 · math.FA · 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{GT3ABBLNQ5LCMME5TLA23L4ZFP}

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	2026-05-18T02:21:50.362839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34f600856d875626309d9ac1adaf992bf95b88c06c32b33cdc57a0aa34a49d9a

Aliases

arxiv: 1503.05461 · arxiv_version: 1503.05461v1 · doi: 10.48550/arxiv.1503.05461 · pith_short_12: GT3ABBLNQ5LC · pith_short_16: GT3ABBLNQ5LCMME5 · pith_short_8: GT3ABBLN

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/GT3ABBLNQ5LCMME5TLA23L4ZFP \
  | 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: 34f600856d875626309d9ac1adaf992bf95b88c06c32b33cdc57a0aa34a49d9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81606c3294b84529f0a5e8dd84503f5da35324bd461c2c6fd6d75f62a260e830",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-03-18T15:56:53Z",
    "title_canon_sha256": "01823999855abf33f3946e0560238185586b943d7f2518ad598fbc873a3c7320"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05461",
    "kind": "arxiv",
    "version": 1
  }
}