Pith Number

pith:EKH72FGL

pith:2016:EKH72FGLMMHIU6JB276RPZIGPD

not attested not anchored not stored refs pending

A sharp Schrodinger maximal estimate in $\mathbb{R}^2$

Larry Guth, Xiaochun Li, Xiumin Du

arxiv:1612.08946 v2 · 2016-12-28 · 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{EKH72FGLMMHIU6JB276RPZIGPD}

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	2026-05-18T00:42:07.268460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

228ffd14cb630e8a7921d7fd17e50678f825eccfcf1467e58797a978395d243e

Aliases

arxiv: 1612.08946 · arxiv_version: 1612.08946v2 · doi: 10.48550/arxiv.1612.08946 · pith_short_12: EKH72FGLMMHI · pith_short_16: EKH72FGLMMHIU6JB · pith_short_8: EKH72FGL

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/EKH72FGLMMHIU6JB276RPZIGPD \
  | 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: 228ffd14cb630e8a7921d7fd17e50678f825eccfcf1467e58797a978395d243e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d81fa44fe05b717d776c82bd9c89c9cdba797f02cf1dbed857c68c510061c91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-12-28T18:33:13Z",
    "title_canon_sha256": "54c7f32a55a2f865a076366d880b161bba49d2fb30baf5cb7b12329b1b11962c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08946",
    "kind": "arxiv",
    "version": 2
  }
}