Pith Number

pith:YDQ5PITE

pith:2013:YDQ5PITELBJINZ545OORKR5DSL

not attested not anchored not stored refs pending

Grothendieck's theorem for absolutely summing multilinear operators is optimal

Daniel Pellegrino, Juan B. Seoane-Sepulveda

arxiv:1307.4809 v2 · 2013-07-18 · 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{YDQ5PITELBJINZ545OORKR5DSL}

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	2026-05-18T01:31:20.037074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0e1d7a264585286e7bceb9d1547a392c48bbb46503793af172198ee8ce7e955

Aliases

arxiv: 1307.4809 · arxiv_version: 1307.4809v2 · doi: 10.48550/arxiv.1307.4809 · pith_short_12: YDQ5PITELBJI · pith_short_16: YDQ5PITELBJINZ54 · pith_short_8: YDQ5PITE

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/YDQ5PITELBJINZ545OORKR5DSL \
  | 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: c0e1d7a264585286e7bceb9d1547a392c48bbb46503793af172198ee8ce7e955

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f22c376ee2a99dfc3bb23b33e7cba27a2e931229e6524fe44ef981273503bb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-07-18T00:57:58Z",
    "title_canon_sha256": "9073a6389efafb8491b586cb33731398f39ca80a8228fa4702d21baac65e6626"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4809",
    "kind": "arxiv",
    "version": 2
  }
}