Pith Number

pith:PB52M5QG

pith:2014:PB52M5QGDVHSS57AEYITGE5VT5

not attested not anchored not stored refs pending

Frames and representing systems in Fr\'echet spaces and their duals

Antonio Galbis, Carmen Fern\'andez, Jos\'e Bonet, Juan Miguel Ribera

arxiv:1411.3500 v1 · 2014-11-13 · 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{PB52M5QGDVHSS57AEYITGE5VT5}

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	2026-05-18T00:50:23.381012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

787ba676061d4f2977e026113313b59f400ba8f6c1099a703949434cc5c6a8fe

Aliases

arxiv: 1411.3500 · arxiv_version: 1411.3500v1 · doi: 10.48550/arxiv.1411.3500 · pith_short_12: PB52M5QGDVHS · pith_short_16: PB52M5QGDVHSS57A · pith_short_8: PB52M5QG

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/PB52M5QGDVHSS57AEYITGE5VT5 \
  | 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: 787ba676061d4f2977e026113313b59f400ba8f6c1099a703949434cc5c6a8fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "981009a99e9efbaf6c6eb43025dc9e0a3f54c17ebba1603cc740ad847672f186",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-11-13T11:11:49Z",
    "title_canon_sha256": "7542ef3eee5a1bfed9929dd9fc84ec70a183420176597caafe783ec3bf511d5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3500",
    "kind": "arxiv",
    "version": 1
  }
}