Pith Number

pith:LJYXTIOV

pith:2019:LJYXTIOVV53I2QPG524M5QOPN7

not attested not anchored not stored refs pending

c-numerical range of operator products on B(H)

Xiaochun Fang, Yanfang Zhang

arxiv:1901.05245 v1 · 2019-01-16 · 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{LJYXTIOVV53I2QPG524M5QOPN7}

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	2026-05-17T23:56:11.371047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a7179a1d5af768d41e6eeb8cec1cf6fec6d433add7bef8c1b152d3ef181bb11

Aliases

arxiv: 1901.05245 · arxiv_version: 1901.05245v1 · doi: 10.48550/arxiv.1901.05245 · pith_short_12: LJYXTIOVV53I · pith_short_16: LJYXTIOVV53I2QPG · pith_short_8: LJYXTIOV

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/LJYXTIOVV53I2QPG524M5QOPN7 \
  | 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: 5a7179a1d5af768d41e6eeb8cec1cf6fec6d433add7bef8c1b152d3ef181bb11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed7301a9cf6e4864e81fc68a7be9aac0f631316910581b741e977bd5947dfc12",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-01-16T12:03:12Z",
    "title_canon_sha256": "b163a4e88cf58fbe823349c61bac3b43a9362d9e77c7b92b84b7a791bc3ff1c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.05245",
    "kind": "arxiv",
    "version": 1
  }
}