Pith Number

pith:GTWCQ7F5

pith:2012:GTWCQ7F5Q3DQF3YPIREI7NWEGT

not attested not anchored not stored refs pending

Orthogonality in $\ell_p$-spaces and its bearing on ordered Banach spaces

Anil Kumar Karn

arxiv:1212.0054 v1 · 2012-12-01 · 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{GTWCQ7F5Q3DQF3YPIREI7NWEGT}

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	2026-05-18T03:39:27.459095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34ec287cbd86c702ef0f44488fb6c434e51ae99ba6ddb0ff9e39f03cb4f613e4

Aliases

arxiv: 1212.0054 · arxiv_version: 1212.0054v1 · doi: 10.48550/arxiv.1212.0054 · pith_short_12: GTWCQ7F5Q3DQ · pith_short_16: GTWCQ7F5Q3DQF3YP · pith_short_8: GTWCQ7F5

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/GTWCQ7F5Q3DQF3YPIREI7NWEGT \
  | 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: 34ec287cbd86c702ef0f44488fb6c434e51ae99ba6ddb0ff9e39f03cb4f613e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1500856b0fa3b09c8b18bd6e50585230424c2abb7242d6125b7c3f16af95fc85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-12-01T02:32:39Z",
    "title_canon_sha256": "4335b23872cecb0b567ebf45b0f6774a3533f23ca83206c0b2743e72ac50cfb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0054",
    "kind": "arxiv",
    "version": 1
  }
}