Pith Number

pith:P7FHO3LW

pith:2011:P7FHO3LWIESXPKXWBPZ4L4GBXP

not attested not anchored not stored refs pending

Frames for spaces of Paley-Wiener functions on Riemannian manifolds

Isaac Pesenson

arxiv:1104.1710 v1 · 2011-04-09 · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P7FHO3LWIESXPKXWBPZ4L4GBXP}

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	2026-05-18T04:24:43.306937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fca776d76412577aaf60bf3c5f0c1bbe8eecb7582d2499a4f0a0e89059964e4

Aliases

arxiv: 1104.1710 · arxiv_version: 1104.1710v1 · doi: 10.48550/arxiv.1104.1710 · pith_short_12: P7FHO3LWIESX · pith_short_16: P7FHO3LWIESXPKXW · pith_short_8: P7FHO3LW

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/P7FHO3LWIESXPKXWBPZ4L4GBXP \
  | 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: 7fca776d76412577aaf60bf3c5f0c1bbe8eecb7582d2499a4f0a0e89059964e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbbb0b95265a22c241284b17cf2957f7c4a28ad49b030889aebf1b2fe809c07a",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-04-09T14:21:05Z",
    "title_canon_sha256": "15358e272e1042ae4e8ad1f077fc489fd209400fdab228de7a78f8ac99263699"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1710",
    "kind": "arxiv",
    "version": 1
  }
}