Pith Number

pith:ZZRCCC25

pith:2013:ZZRCCC25L4VJRMH6LXR7QQ52NP

not attested not anchored not stored refs pending

V.A. Steklov and the Problem of Sharp (Exact) Constants in Inequalities of Mathematical Physics

A.I. Nazarov, N.G. Kuznetsov, S.V. Poborchi

arxiv:1307.8025 v1 · 2013-07-30 · math.HO · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZZRCCC25L4VJRMH6LXR7QQ52NP}

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	2026-05-18T03:17:12.617691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce62210b5d5f2a98b0fe5de3f843ba6bfab8d345fcef57449f864248a48737a1

Aliases

arxiv: 1307.8025 · arxiv_version: 1307.8025v1 · doi: 10.48550/arxiv.1307.8025 · pith_short_12: ZZRCCC25L4VJ · pith_short_16: ZZRCCC25L4VJRMH6 · pith_short_8: ZZRCCC25

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/ZZRCCC25L4VJRMH6LXR7QQ52NP \
  | 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: ce62210b5d5f2a98b0fe5de3f843ba6bfab8d345fcef57449f864248a48737a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2749e8a3256be1937c185247ba5d8e4366fc66fd003d315bd5e7eee1f47cdb21",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2013-07-30T15:52:56Z",
    "title_canon_sha256": "b221b77c966e75b302080721bd9dc4ee2dfc426d2a73e29ffe9297544e84eb2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8025",
    "kind": "arxiv",
    "version": 1
  }
}