Pith Number

pith:I5TJXZWR

pith:2012:I5TJXZWRP2N73FHZXWX3Y5R3VV

not attested not anchored not stored refs pending

A few remarks on time-frequency analysis of Gevrey, analytic and ultra-analytic functions

Elena Cordero, Fabio Nicola, Luigi Rodin

arxiv:1210.5143 v1 · 2012-10-18 · 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{I5TJXZWRP2N73FHZXWX3Y5R3VV}

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	2026-05-18T03:42:53.758906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47669be6d17e9bfd94f9bdafbc763bad4c66ebf94ba7c6f52c0f4060e577b20a

Aliases

arxiv: 1210.5143 · arxiv_version: 1210.5143v1 · doi: 10.48550/arxiv.1210.5143 · pith_short_12: I5TJXZWRP2N7 · pith_short_16: I5TJXZWRP2N73FHZ · pith_short_8: I5TJXZWR

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/I5TJXZWRP2N73FHZXWX3Y5R3VV \
  | 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: 47669be6d17e9bfd94f9bdafbc763bad4c66ebf94ba7c6f52c0f4060e577b20a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6ac745be2eafc212e15beb394747ff9154a43be13fa448252d6ff4eb94fb1f0",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-18T14:43:01Z",
    "title_canon_sha256": "ec6aef8d7fb52f762e4641e90e95b428a69ddc0b11b6f13abe27487855f7c88a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5143",
    "kind": "arxiv",
    "version": 1
  }
}