Pith Number

pith:J6TH2N6D

pith:2012:J6TH2N6DU6CD5HYYRCD57OLVII

not attested not anchored not stored refs pending

Extendibility of bilinear forms on Banach sequence spaces

Daniel Carando, Pablo Sevilla-Peris

arxiv:1212.0777 v1 · 2012-12-04 · 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{J6TH2N6DU6CD5HYYRCD57OLVII}

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	2026-05-18T02:30:55.223797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fa67d37c3a7843e9f188887dfb97542309d3e24c893c5b62465fbab962a3198

Aliases

arxiv: 1212.0777 · arxiv_version: 1212.0777v1 · doi: 10.48550/arxiv.1212.0777 · pith_short_12: J6TH2N6DU6CD · pith_short_16: J6TH2N6DU6CD5HYY · pith_short_8: J6TH2N6D

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/J6TH2N6DU6CD5HYYRCD57OLVII \
  | 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: 4fa67d37c3a7843e9f188887dfb97542309d3e24c893c5b62465fbab962a3198

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a36a577166cb65790bdb1fb793956671de33517572d7aefe2f9cc923a9ba4528",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-12-04T16:16:46Z",
    "title_canon_sha256": "c1f9c3a331d41002ac00c3ad7700a16a13194acee251eb441d92a9ef0f936fd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0777",
    "kind": "arxiv",
    "version": 1
  }
}