Pith Number

pith:RHCMQ7JF

pith:2013:RHCMQ7JFIF7BKHE2HDVCMJW454

not attested not anchored not stored refs pending

Common properties of bounded linear operators $AC$ and $BA$: Spectral theory

Huaijie Zhong, Qingping Zeng

arxiv:1303.5818 v1 · 2013-03-23 · 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{RHCMQ7JFIF7BKHE2HDVCMJW454}

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	2026-05-18T02:57:00.006654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89c4c87d25417e151c9a38ea2626dcef3069ad2c696960d56958fd05bbdd5336

Aliases

arxiv: 1303.5818 · arxiv_version: 1303.5818v1 · doi: 10.48550/arxiv.1303.5818 · pith_short_12: RHCMQ7JFIF7B · pith_short_16: RHCMQ7JFIF7BKHE2 · pith_short_8: RHCMQ7JF

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/RHCMQ7JFIF7BKHE2HDVCMJW454 \
  | 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: 89c4c87d25417e151c9a38ea2626dcef3069ad2c696960d56958fd05bbdd5336

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53bc57f865969008ed851cac852e1da6e8ed6e4586f1f005033021fa11dde12c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-03-23T04:55:47Z",
    "title_canon_sha256": "4f24abf651a88c5cb75e523ccad0df6ae4bf7e187dce663d03aff2f13794dfa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5818",
    "kind": "arxiv",
    "version": 1
  }
}