Pith Number

pith:Y2PDRVIV

pith:2013:Y2PDRVIVOXUZB74GOSKJWGACGK

not attested not anchored not stored refs pending

Green's function asymptotics and sharp point-wise interpolation inequalities

Alexei A. Ilyin, Sergey V. Zelik

arxiv:1303.0957 v1 · 2013-03-05 · math.AP · 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{Y2PDRVIVOXUZB74GOSKJWGACGK}

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	2026-05-18T03:31:53.351614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c69e38d51575e990ff8674949b180232be7f9582ab2c228f28ea7a6734219e73

Aliases

arxiv: 1303.0957 · arxiv_version: 1303.0957v1 · doi: 10.48550/arxiv.1303.0957 · pith_short_12: Y2PDRVIVOXUZ · pith_short_16: Y2PDRVIVOXUZB74G · pith_short_8: Y2PDRVIV

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/Y2PDRVIVOXUZB74GOSKJWGACGK \
  | 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: c69e38d51575e990ff8674949b180232be7f9582ab2c228f28ea7a6734219e73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87123ee7e662c00eeb8f7577c8ffe6d0aa08f3dcfcca92eca8cad745cad54411",
    "cross_cats_sorted": [
      "math.FA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-03-05T08:58:28Z",
    "title_canon_sha256": "e15cca6a1c3b8890078c847c1f8e02836e6f51b12dbfaed3c27af150ffe20e1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0957",
    "kind": "arxiv",
    "version": 1
  }
}