Pith Number

pith:5POHLZOJ

pith:2017:5POHLZOJMD5EXIOS47XHQMVZBH

not attested not anchored not stored refs pending

Frames of exponentials and sub-multitiles in LCA groups

Carlos Cabrelli, Carolina Mosquera, Davide Barbieri, Eugenio Hern\'andez, Peter Luthy, Ursula Molter

arxiv:1710.03176 v1 · 2017-10-09 · math.CA · 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{5POHLZOJMD5EXIOS47XHQMVZBH}

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	2026-05-18T00:33:26.843575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebdc75e5c960fa4ba1d2e7ee7832b909dcc4d0d4aed90f52f57f8c279064515a

Aliases

arxiv: 1710.03176 · arxiv_version: 1710.03176v1 · doi: 10.48550/arxiv.1710.03176 · pith_short_12: 5POHLZOJMD5E · pith_short_16: 5POHLZOJMD5EXIOS · pith_short_8: 5POHLZOJ

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/5POHLZOJMD5EXIOS47XHQMVZBH \
  | 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: ebdc75e5c960fa4ba1d2e7ee7832b909dcc4d0d4aed90f52f57f8c279064515a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c44c9c4c1c97b4ef2c52eb93149650359f44c71618e80071fb440db704ac1db3",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-10-09T16:23:09Z",
    "title_canon_sha256": "6661156218956d1784f093a6f4896ded55777a6059a0fc617a08f11bf22cd467"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03176",
    "kind": "arxiv",
    "version": 1
  }
}