Pith Number

pith:2XT6EQQD

pith:2012:2XT6EQQDSX4YRS5FLTCWN67O5A

not attested not anchored not stored refs pending

On the Schrodinger maximal function in higher dimension

Jean Bourgain

arxiv:1201.3342 v1 · 2012-01-16 · 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{2XT6EQQDSX4YRS5FLTCWN67O5A}

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	2026-05-18T04:04:31.574692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5e7e2420395f988cba55cc566fbeee83b824daaad6f99217255b3a5eef104e5

Aliases

arxiv: 1201.3342 · arxiv_version: 1201.3342v1 · doi: 10.48550/arxiv.1201.3342 · pith_short_12: 2XT6EQQDSX4Y · pith_short_16: 2XT6EQQDSX4YRS5F · pith_short_8: 2XT6EQQD

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/2XT6EQQDSX4YRS5FLTCWN67O5A \
  | 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: d5e7e2420395f988cba55cc566fbeee83b824daaad6f99217255b3a5eef104e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aae9ca3802f822047e4f0d8355c69d798a6b98e5569b5bbbc15ae472f3d54325",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-16T19:15:41Z",
    "title_canon_sha256": "c55a4ba7b05c8da92aea29b37167e8b77335202ca026e86c3e9a964f509dcf8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3342",
    "kind": "arxiv",
    "version": 1
  }
}