Pith Number

pith:QBZAQOE6

pith:1993:QBZAQOE6F5LINNY52EZ37S7GPJ

not attested not anchored not stored refs pending

Isometries of $L_p$-spaces of solutions of homogeneous partial differential equations

Alexander Koldobsky

arxiv:math/9312205 v1 · 1993-12-15 · 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{QBZAQOE6F5LINNY52EZ37S7GPJ}

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	2026-05-18T01:05:51.775612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

807208389e2f5686b71dd133bfcbe67a7c1ca41aa588425eaba9396558f1bbb4

Aliases

arxiv: math/9312205 · arxiv_version: math/9312205v1 · doi: 10.48550/arxiv.math/9312205 · pith_short_12: QBZAQOE6F5LI · pith_short_16: QBZAQOE6F5LINNY5 · pith_short_8: QBZAQOE6

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/QBZAQOE6F5LINNY52EZ37S7GPJ \
  | 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: 807208389e2f5686b71dd133bfcbe67a7c1ca41aa588425eaba9396558f1bbb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5123a23a3cb2d5d30dfd53ef030e9382c948151bc5100be213597258f6dfdccc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1993-12-15T16:07:01Z",
    "title_canon_sha256": "97bee4eec3e32525390f8dad5031334b89391208491bbc1f415ad091b448a797"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9312205",
    "kind": "arxiv",
    "version": 1
  }
}