Pith Number

pith:BHF6KYN3

pith:2013:BHF6KYN3BNUDLQOBJA5SSJZJAR

not attested not anchored not stored refs pending

Shannon Sampling and Parseval Frames on Compact Manifolds

Isaac Z. Pesenson

arxiv:1312.1882 v1 · 2013-12-06 · cs.IT · math.FA · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BHF6KYN3BNUDLQOBJA5SSJZJAR}

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	2026-05-18T03:05:19.539822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09cbe561bb0b6835c1c1483b2927290475942d732ba91e22f47a0002e53c79b2

Aliases

arxiv: 1312.1882 · arxiv_version: 1312.1882v1 · doi: 10.48550/arxiv.1312.1882 · pith_short_12: BHF6KYN3BNUD · pith_short_16: BHF6KYN3BNUDLQOB · pith_short_8: BHF6KYN3

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/BHF6KYN3BNUDLQOBJA5SSJZJAR \
  | 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: 09cbe561bb0b6835c1c1483b2927290475942d732ba91e22f47a0002e53c79b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aed031ae8ecf535fb1da9aceb219964c653902b73e6ef9310aa0421a4dce6a04",
    "cross_cats_sorted": [
      "math.FA",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-12-06T15:08:00Z",
    "title_canon_sha256": "7bcd5f74439c9e9a575b8adbdd270b4715ee49a26cff917bee3350a75c33085f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1882",
    "kind": "arxiv",
    "version": 1
  }
}