Pith Number

pith:5OYLVRAB

pith:2013:5OYLVRABIEOMISKYGTO4SLHH7Q

not attested not anchored not stored refs pending

On the differentiable vectors for contragredient representations

Daniel Beltita, Ingrid Beltita

arxiv:1306.5317 v2 · 2013-06-22 · math.RT · math.AP · 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{5OYLVRABIEOMISKYGTO4SLHH7Q}

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	2026-05-18T03:09:48.160614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebb0bac401411cc4495834ddc92ce7fc328c6f23d119d61b4d506195b2b75b40

Aliases

arxiv: 1306.5317 · arxiv_version: 1306.5317v2 · doi: 10.48550/arxiv.1306.5317 · pith_short_12: 5OYLVRABIEOM · pith_short_16: 5OYLVRABIEOMISKY · pith_short_8: 5OYLVRAB

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/5OYLVRABIEOMISKYGTO4SLHH7Q \
  | 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: ebb0bac401411cc4495834ddc92ce7fc328c6f23d119d61b4d506195b2b75b40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1bc51cb192bb6c29efa01222d4178126061c758df5794036c148c62f6d46446",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-06-22T12:52:55Z",
    "title_canon_sha256": "a45e6aeab4619b981f1667d88b447a43877d59afddd32db28b4f562040ae5465"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5317",
    "kind": "arxiv",
    "version": 2
  }
}