Pith Number

pith:PFTBCERS

pith:2013:PFTBCERSZ3YRK7JZ2EJ3N4YN2N

not attested not anchored not stored refs pending

Restriction estimates via the derivatives of the heat semigroup and connexion with dispersive estimates

El Maati Ouhabaz (IMB), Frederic Bernicot (LMJL)

arxiv:1304.3536 v1 · 2013-04-12 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PFTBCERSZ3YRK7JZ2EJ3N4YN2N}

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	2026-05-18T03:28:07.395196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7966111232cef1157d39d113b6f30dd346d519fc2a1a2236e0562af98c111da0

Aliases

arxiv: 1304.3536 · arxiv_version: 1304.3536v1 · doi: 10.48550/arxiv.1304.3536 · pith_short_12: PFTBCERSZ3YR · pith_short_16: PFTBCERSZ3YRK7JZ · pith_short_8: PFTBCERS

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/PFTBCERSZ3YRK7JZ2EJ3N4YN2N \
  | 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: 7966111232cef1157d39d113b6f30dd346d519fc2a1a2236e0562af98c111da0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3de9c025f5fa5ecc64d3c19a3518e839f13602f8f7e9814bf1b9b89543ab37eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-04-12T04:45:37Z",
    "title_canon_sha256": "3fa8841b948a90f03aca78433bd6807763f838e6eaeca28e8cca0daf2a9ad5bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3536",
    "kind": "arxiv",
    "version": 1
  }
}