Pith Number

pith:TKWIA6V3

pith:2013:TKWIA6V3QQP3P6TIHAJ32WKFGV

not attested not anchored not stored refs pending

A Sobolev estimate for the adjoint restriction operator

Sanghyuk Lee, Yonggeun Cho, Zihua Guo

arxiv:1307.3298 v2 · 2013-07-12 · math.CA · 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{TKWIA6V3QQP3P6TIHAJ32WKFGV}

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	2026-05-18T02:41:42.324980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9aac807abb841fb7fa683813bd59453558b176a72ff4999c98b3b98e05a008c7

Aliases

arxiv: 1307.3298 · arxiv_version: 1307.3298v2 · doi: 10.48550/arxiv.1307.3298 · pith_short_12: TKWIA6V3QQP3 · pith_short_16: TKWIA6V3QQP3P6TI · pith_short_8: TKWIA6V3

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/TKWIA6V3QQP3P6TIHAJ32WKFGV \
  | 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: 9aac807abb841fb7fa683813bd59453558b176a72ff4999c98b3b98e05a008c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f896f8d2907b460775ad40baf399d8046036746713b8d1034847c7056f697bce",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-07-12T00:19:46Z",
    "title_canon_sha256": "83f09fafef01c47a9a17c005ffd43d903f957a2406dadf10e6297d10af5519b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3298",
    "kind": "arxiv",
    "version": 2
  }
}