Pith Number

pith:SULUO4H5

pith:2011:SULUO4H52QWUOYG5V7PSQSGD4S

not attested not anchored not stored refs pending

Uniform estimates for the solutions of the Schr\"odinger equation on the torus and regularity of semiclassical measures

Dmitry Jakobson, Fabricio Maci\`a, Tayeb A\"issiou

arxiv:1110.6521 v2 · 2011-10-29 · math.AP · 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{SULUO4H52QWUOYG5V7PSQSGD4S}

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	2026-05-18T04:00:15.544274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95174770fdd42d4760ddafdf2848c3e49cdad45ed2a424a6119bc3c35437bc31

Aliases

arxiv: 1110.6521 · arxiv_version: 1110.6521v2 · doi: 10.48550/arxiv.1110.6521 · pith_short_12: SULUO4H52QWU · pith_short_16: SULUO4H52QWUOYG5 · pith_short_8: SULUO4H5

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/SULUO4H52QWUOYG5V7PSQSGD4S \
  | 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: 95174770fdd42d4760ddafdf2848c3e49cdad45ed2a424a6119bc3c35437bc31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e972d6a95266c1a33c4decb52169ef053d8e8e5674e38306f03d9fb97a60b44",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-10-29T11:01:14Z",
    "title_canon_sha256": "edf1853d8709d1b2bfda257143f67b52b0ca0102dc0eefcd95e81443412686c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6521",
    "kind": "arxiv",
    "version": 2
  }
}