Pith Number

pith:PK275UXE

pith:2011:PK275UXEGYAHT4MQSXZ2JGC7GO

not attested not anchored not stored refs pending

Five basic lemmas for symmetric tensor products of normed spaces

Daniel Carando, Daniel Galicer

arxiv:1105.3746 v1 · 2011-05-18 · 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{PK275UXEGYAHT4MQSXZ2JGC7GO}

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	2026-05-18T04:04:29.987552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ab5fed2e4360079f19095f3a4985f33b0e83f75ebebba760e6887157372a12c

Aliases

arxiv: 1105.3746 · arxiv_version: 1105.3746v1 · doi: 10.48550/arxiv.1105.3746 · pith_short_12: PK275UXEGYAH · pith_short_16: PK275UXEGYAHT4MQ · pith_short_8: PK275UXE

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/PK275UXEGYAHT4MQSXZ2JGC7GO \
  | 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: 7ab5fed2e4360079f19095f3a4985f33b0e83f75ebebba760e6887157372a12c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4eaef5bb05e6134f7aeee70950a93f79b4c3635852829cbe7a3546a8fb874496",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-05-18T20:36:17Z",
    "title_canon_sha256": "a16543012fa81f1cf60ea7a9ec8fa823b1051fe35843300b7cdee71bd2b53a2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3746",
    "kind": "arxiv",
    "version": 1
  }
}