Pith Number

pith:XNAYYZRF

pith:2011:XNAYYZRFDIFMFVLUJOKPDQPPWG

not attested not anchored not stored refs pending

A general Extraplolation Theorem for absolutely summing operators

Daniel Pellegrino, Joedson Santos, Juan B. Seoane-Sep\'ulveda

arxiv:1112.5901 v1 · 2011-12-26 · 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{XNAYYZRFDIFMFVLUJOKPDQPPWG}

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	2026-05-18T01:31:20.115909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb418c66251a0ac2d5744b94f1c1efb1a520019c020280c4d4dcafbdf11c2748

Aliases

arxiv: 1112.5901 · arxiv_version: 1112.5901v1 · doi: 10.48550/arxiv.1112.5901 · pith_short_12: XNAYYZRFDIFM · pith_short_16: XNAYYZRFDIFMFVLU · pith_short_8: XNAYYZRF

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/XNAYYZRFDIFMFVLUJOKPDQPPWG \
  | 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: bb418c66251a0ac2d5744b94f1c1efb1a520019c020280c4d4dcafbdf11c2748

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "886babac0e324cc0cb172cb2f0b9dd564bf97e44b74fc3c62503239043261795",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-12-26T23:39:26Z",
    "title_canon_sha256": "ebe2c40ae87f97484fc14788b47455425650bda154ba9b3f4072494e06c3f25c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5901",
    "kind": "arxiv",
    "version": 1
  }
}