Pith Number

pith:PC5CDI4O

pith:2000:PC5CDI4O64IXDKPRYV2C2BPHSU

not attested not anchored not stored refs pending

L-embedded Banach spaces and measure topology

Hermann Pfitzner

arxiv:math/0003154 v1 · 2000-03-24 · 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{PC5CDI4O64IXDKPRYV2C2BPHSU}

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	2026-05-18T02:12:01.050289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78ba21a38ef71171a9f1c5742d05e7953e5a363ecefbd4bd017dacf0d0cbe577

Aliases

arxiv: math/0003154 · arxiv_version: math/0003154v1 · doi: 10.48550/arxiv.math/0003154 · pith_short_12: PC5CDI4O64IX · pith_short_16: PC5CDI4O64IXDKPR · pith_short_8: PC5CDI4O

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/PC5CDI4O64IXDKPRYV2C2BPHSU \
  | 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: 78ba21a38ef71171a9f1c5742d05e7953e5a363ecefbd4bd017dacf0d0cbe577

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f6ea1bc734b083e95ca5064d24e2192c813197cdd286b8f64166a8ad3fbe8f6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2000-03-24T18:12:08Z",
    "title_canon_sha256": "54696b49c9a8949c8a0ea080986e8c2e0715798aa2e1c592ae2282352666ae59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0003154",
    "kind": "arxiv",
    "version": 1
  }
}