Pith Number

pith:RFOQS5BF

pith:2012:RFOQS5BFRJDK767NPHG3I4SC7J

not attested not anchored not stored refs pending

Spectra originated from semi-B-Fredholm theory and commuting perturbations

Huaijie Zhong, Qiaofen Jiang, Qingping Zeng

arxiv:1203.2442 v1 · 2012-03-12 · 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{RFOQS5BFRJDK767NPHG3I4SC7J}

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	2026-05-18T02:57:00.219588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

895d0974258a46affbed79cdb47242fa50844b0c1443772eec5560eaa70c1f1d

Aliases

arxiv: 1203.2442 · arxiv_version: 1203.2442v1 · doi: 10.48550/arxiv.1203.2442 · pith_short_12: RFOQS5BFRJDK · pith_short_16: RFOQS5BFRJDK767N · pith_short_8: RFOQS5BF

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/RFOQS5BFRJDK767NPHG3I4SC7J \
  | 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: 895d0974258a46affbed79cdb47242fa50844b0c1443772eec5560eaa70c1f1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdd861ac2accf46ad41e48103ce8505459e05399ead4b573531a50023481cce1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-03-12T10:04:44Z",
    "title_canon_sha256": "218dd58d4b979ec5438b9ff8b9594ce820b076be021f45be4cbc1d6ccfe18520"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2442",
    "kind": "arxiv",
    "version": 1
  }
}