Pith Number

pith:5PS5CBM3

pith:2013:5PS5CBM3TLNBKO4ZRG46XKS5QJ

not attested not anchored not stored refs pending

Compactness Criteria for Sets and Operators in the Setting of Continuous Frames

D. Parra, M. Mantoiu

arxiv:1301.0247 v1 · 2013-01-02 · 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{5PS5CBM3TLNBKO4ZRG46XKS5QJ}

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	2026-05-18T02:48:55.044766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebe5d1059b9ada153b9989b9ebaa5d8269f66981b01372ea5713d2fdecc93091

Aliases

arxiv: 1301.0247 · arxiv_version: 1301.0247v1 · doi: 10.48550/arxiv.1301.0247 · pith_short_12: 5PS5CBM3TLNB · pith_short_16: 5PS5CBM3TLNBKO4Z · pith_short_8: 5PS5CBM3

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/5PS5CBM3TLNBKO4ZRG46XKS5QJ \
  | 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: ebe5d1059b9ada153b9989b9ebaa5d8269f66981b01372ea5713d2fdecc93091

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "537d7f86f7159b145641a30abf356b953c1879ff298ad9edd2b7b275fd80d113",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-01-02T15:34:16Z",
    "title_canon_sha256": "9f885ec2d6d16bc31242f7fd2c51e0c69713829cc3f2a9602181d5ae005db0aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0247",
    "kind": "arxiv",
    "version": 1
  }
}