Pith Number

pith:GM7HVPKS

pith:2013:GM7HVPKSASZ2KYBRR4WD2MYIDN

not attested not anchored not stored refs pending

Uniformly factoring weakly compact operators

Daniel Freeman, Kevin Beanland

arxiv:1304.3471 v1 · 2013-04-11 · 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{GM7HVPKSASZ2KYBRR4WD2MYIDN}

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	2026-05-18T03:28:07.700516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

333e7abd5204b3a560318f2c3d33081b4c134dca61729e47276b0f07639cdd47

Aliases

arxiv: 1304.3471 · arxiv_version: 1304.3471v1 · doi: 10.48550/arxiv.1304.3471 · pith_short_12: GM7HVPKSASZ2 · pith_short_16: GM7HVPKSASZ2KYBR · pith_short_8: GM7HVPKS

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/GM7HVPKSASZ2KYBRR4WD2MYIDN \
  | 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: 333e7abd5204b3a560318f2c3d33081b4c134dca61729e47276b0f07639cdd47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "159fcdb01d1995659e340fe4408952045bcbeabf2609e5dd2b4c87ce1d04407a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-04-11T20:07:26Z",
    "title_canon_sha256": "abaac9b5c08c2fb7c7fc6ec3c5ca92b12e0b7c3de59bcd4b8c51c381130b45fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3471",
    "kind": "arxiv",
    "version": 1
  }
}