Pith Number

pith:QMMXCO2G

pith:2019:QMMXCO2GPGQMYSRGKJQLLOCMAV

not attested not anchored not stored refs pending

Localization of Fr\'echet frames and expansion of generalized functions

Diana T. Stoeva, Stevan Pilipovi\'c

arxiv:1907.01147 v1 · 2019-07-02 · 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{QMMXCO2GPGQMYSRGKJQLLOCMAV}

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	2026-05-17T23:41:41.151116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8319713b4679a0cc4a265260b5b84c054ebfba4141c613556f073825eb047cb7

Aliases

arxiv: 1907.01147 · arxiv_version: 1907.01147v1 · doi: 10.48550/arxiv.1907.01147 · pith_short_12: QMMXCO2GPGQM · pith_short_16: QMMXCO2GPGQMYSRG · pith_short_8: QMMXCO2G

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/QMMXCO2GPGQMYSRGKJQLLOCMAV \
  | 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: 8319713b4679a0cc4a265260b5b84c054ebfba4141c613556f073825eb047cb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee435eff44331b7c664bf549129200d0a7cbf5f9e40dd5766c4596e9ca641cad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-07-02T03:35:59Z",
    "title_canon_sha256": "b48d613644e704602399b6f6055ca450f620c425a9e6e8fe0e7556aef15e645c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.01147",
    "kind": "arxiv",
    "version": 1
  }
}