Pith Number

pith:4N7IYCS2

pith:2015:4N7IYCS27AK6EBX5XFMO3LPPNL

not attested not anchored not stored refs pending

Sampling time-frequency localized functions and constructing localized time-frequency frames

Gino Angelo Velasco, Monika D\"orfler

arxiv:1507.07291 v1 · 2015-07-27 · 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{4N7IYCS27AK6EBX5XFMO3LPPNL}

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	2026-05-18T00:54:03.821054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e37e8c0a5af815e206fdb958edadef6ad4d18f887ca124c504e59908ea7e7f4d

Aliases

arxiv: 1507.07291 · arxiv_version: 1507.07291v1 · doi: 10.48550/arxiv.1507.07291 · pith_short_12: 4N7IYCS27AK6 · pith_short_16: 4N7IYCS27AK6EBX5 · pith_short_8: 4N7IYCS2

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/4N7IYCS27AK6EBX5XFMO3LPPNL \
  | 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: e37e8c0a5af815e206fdb958edadef6ad4d18f887ca124c504e59908ea7e7f4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ba7a69675a9799f0cc30e02533b098f9c0801a30909598dca9615fe1a765ed5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-07-27T03:42:00Z",
    "title_canon_sha256": "499a323f7ab2daa48aefe2e9f27f7a05952525de86f76bfa4f6ed99ffc67f3d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07291",
    "kind": "arxiv",
    "version": 1
  }
}