Pith Number

pith:25YPKIEQ

pith:2014:25YPKIEQWR2YQM3KSRBNUTJCMJ

not attested not anchored not stored refs pending

Gabor systems and almost periodic functions

Antonio Galbis, Carmen Fern\'andez, Paolo Boggiatto

arxiv:1412.3587 v1 · 2014-12-11 · 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{25YPKIEQWR2YQM3KSRBNUTJCMJ}

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	2026-05-18T02:31:30.782581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d770f52090b47588336a9442da4d226263f66ea8269679c0549ccdfb5f00cbd0

Aliases

arxiv: 1412.3587 · arxiv_version: 1412.3587v1 · doi: 10.48550/arxiv.1412.3587 · pith_short_12: 25YPKIEQWR2Y · pith_short_16: 25YPKIEQWR2YQM3K · pith_short_8: 25YPKIEQ

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/25YPKIEQWR2YQM3KSRBNUTJCMJ \
  | 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: d770f52090b47588336a9442da4d226263f66ea8269679c0549ccdfb5f00cbd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6feebc821c78652f7c91c10b8af590eed95a653d080e13d953614fa1004ef7a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-12-11T09:54:12Z",
    "title_canon_sha256": "4f90484ddba1ff16d95717ae61fb3643625fd22941d51c546af61279911befac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3587",
    "kind": "arxiv",
    "version": 1
  }
}