Pith Number

pith:XQAJQBPN

pith:2010:XQAJQBPND2XBZW5OW5XWCDQWGO

not attested not anchored not stored refs pending

Strictly convex norms and topology

Jos\'e Orihuela, Richard J. Smith, Stanimir Troyanski

arxiv:1012.5595 v1 · 2010-12-27 · math.FA · math.GN

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQAJQBPND2XBZW5OW5XWCDQWGO}

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	2026-05-18T02:58:01.342614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc009805ed1eae1cdbaeb76f610e16339f38d665b6f5d848f62d6a28e465890e

Aliases

arxiv: 1012.5595 · arxiv_version: 1012.5595v1 · doi: 10.48550/arxiv.1012.5595 · pith_short_12: XQAJQBPND2XB · pith_short_16: XQAJQBPND2XBZW5O · pith_short_8: XQAJQBPN

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/XQAJQBPND2XBZW5OW5XWCDQWGO \
  | 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: bc009805ed1eae1cdbaeb76f610e16339f38d665b6f5d848f62d6a28e465890e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33d95de4b6c5eed1ae1e05207b3d601953e9b7e1d2bfcecef8bf2a7bf0f07098",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-12-27T11:23:50Z",
    "title_canon_sha256": "5d9fc73fd0003d71e497ef58402fed017bebb6232580a8ed1b8d9af97d79fa8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5595",
    "kind": "arxiv",
    "version": 1
  }
}