Pith Number

pith:VY3GZIL2

pith:1995:VY3GZIL2UUN3KI2CABPIP4TY6S

not attested not anchored not stored refs pending

Isometric classification of norms in rearrangement-invariant function spaces

Beata Randrianantoanina

arxiv:math/9512206 v1 · 1995-12-12 · 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{VY3GZIL2UUN3KI2CABPIP4TY6S}

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	2026-05-18T01:05:48.025065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae366ca17aa51bb52342005e87f278f4bd5f43ff680dadd33033b3b5b937d729

Aliases

arxiv: math/9512206 · arxiv_version: math/9512206v1 · doi: 10.48550/arxiv.math/9512206 · pith_short_12: VY3GZIL2UUN3 · pith_short_16: VY3GZIL2UUN3KI2C · pith_short_8: VY3GZIL2

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/VY3GZIL2UUN3KI2CABPIP4TY6S \
  | 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: ae366ca17aa51bb52342005e87f278f4bd5f43ff680dadd33033b3b5b937d729

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "165aaf85082894836fd0d688a2075d900ae431d1cdaa8680f080c9d38b08a0b3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1995-12-12T00:00:00Z",
    "title_canon_sha256": "59f5941afaa432ec03e0b8420e667e2cb1c5450ff07086a3f0b16a49c1d2dfa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9512206",
    "kind": "arxiv",
    "version": 1
  }
}