Pith Number

pith:NZSODIE5

pith:2014:NZSODIE5PF2OFFK53ND2SPR5N3

not attested not anchored not stored refs pending

A reverse Holder inequality for extremal Sobolev functions

Jesse Ratzkin, Tom Carroll

arxiv:1403.7355 v1 · 2014-03-28 · 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{NZSODIE5PF2OFFK53ND2SPR5N3}

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	2026-05-18T01:21:38.112981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e64e1a09d7974e2955ddb47a93e3d6ed3a70493ec6bcda44f2b35fabec04582

Aliases

arxiv: 1403.7355 · arxiv_version: 1403.7355v1 · doi: 10.48550/arxiv.1403.7355 · pith_short_12: NZSODIE5PF2O · pith_short_16: NZSODIE5PF2OFFK5 · pith_short_8: NZSODIE5

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/NZSODIE5PF2OFFK53ND2SPR5N3 \
  | 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: 6e64e1a09d7974e2955ddb47a93e3d6ed3a70493ec6bcda44f2b35fabec04582

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "986a2462479b17904d4c460c7283dc2362009fdb57460c102a942e933e6fa603",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-03-28T12:16:11Z",
    "title_canon_sha256": "cbfa425a481f286e29e1a7db9c449ff79ae3dad643b61dbbd5af636ec86703ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7355",
    "kind": "arxiv",
    "version": 1
  }
}