Pith Number

pith:TX5UN3CS

pith:2022:TX5UN3CSB6VTBPGZ7LGP5BMMSS

not attested not anchored not stored refs pending

Extremal structure of projective tensor products

Abraham Rueda Zoca, Gonzalo Mart\'inez-Cervantes, Guillaume Grelier, Luis C. Garc\'ia-Lirola

arxiv:2211.13559 v2 · 2022-11-24 · 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{TX5UN3CSB6VTBPGZ7LGP5BMMSS}

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	2026-07-05T05:21:45.294641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dfb46ec520fab30bcd9faccfe858c94b69b0571de4bf33c99da1530d2b83f90

Aliases

arxiv: 2211.13559 · arxiv_version: 2211.13559v2 · doi: 10.48550/arxiv.2211.13559 · pith_short_12: TX5UN3CSB6VT · pith_short_16: TX5UN3CSB6VTBPGZ · pith_short_8: TX5UN3CS

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/TX5UN3CSB6VTBPGZ7LGP5BMMSS \
  | 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: 9dfb46ec520fab30bcd9faccfe858c94b69b0571de4bf33c99da1530d2b83f90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b6b9fab8fd697ffad02c0e0d03cb366ea0e75787ed7232794bcbe957592556c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2022-11-24T12:21:46Z",
    "title_canon_sha256": "26314ce38a9269dd62e372938b4232f74a035fa7ffffd0f8c63d0c561a686c8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.13559",
    "kind": "arxiv",
    "version": 2
  }
}