Pith Number

pith:SWHH2GYQ

pith:2013:SWHH2GYQAKFKKZRZHWTIMCIVEG

not attested not anchored not stored refs pending

Deformation of Gabor systems

Joaquim Ortega-Cerd\`a, Jos\'e Luis Romero, Karlheinz Gr\"ochenig

arxiv:1311.3861 v3 · 2013-11-15 · 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{SWHH2GYQAKFKKZRZHWTIMCIVEG}

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	2026-05-18T01:09:50.025381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

958e7d1b10028aa566393da686091521bb76b6d7d16f2a839c9d717213389565

Aliases

arxiv: 1311.3861 · arxiv_version: 1311.3861v3 · doi: 10.48550/arxiv.1311.3861 · pith_short_12: SWHH2GYQAKFK · pith_short_16: SWHH2GYQAKFKKZRZ · pith_short_8: SWHH2GYQ

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/SWHH2GYQAKFKKZRZHWTIMCIVEG \
  | 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: 958e7d1b10028aa566393da686091521bb76b6d7d16f2a839c9d717213389565

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd262ac5e782b2c2a7722eb6e72b7c222c0351ea1c0e54f3f4c5101a26e656ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-11-15T14:33:54Z",
    "title_canon_sha256": "6ae515cb2850081d15476362886875ab462c04a925cfd9776b82abf54187f073"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3861",
    "kind": "arxiv",
    "version": 3
  }
}