Pith Number

pith:SIB4XLKM

pith:2011:SIB4XLKMU23N5YZCXWKG2JCE6J

not attested not anchored not stored refs pending

Local smoothing for the Schr\"odinger equation with a prescribed loss

Hans Christianson, Jared Wunsch

arxiv:1103.3908 v2 · 2011-03-21 · math.AP · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SIB4XLKMU23N5YZCXWKG2JCE6J}

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	2026-05-18T04:03:45.353020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9203cbad4ca6b6dee322bd946d2444f24910ba02e6dbfc047f226282925d28b8

Aliases

arxiv: 1103.3908 · arxiv_version: 1103.3908v2 · doi: 10.48550/arxiv.1103.3908 · pith_short_12: SIB4XLKMU23N · pith_short_16: SIB4XLKMU23N5YZC · pith_short_8: SIB4XLKM

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/SIB4XLKMU23N5YZCXWKG2JCE6J \
  | 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: 9203cbad4ca6b6dee322bd946d2444f24910ba02e6dbfc047f226282925d28b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f43e5b320759e5851a4d268579780254d2e62622a295818fa5278d11da39ded",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-03-21T01:13:37Z",
    "title_canon_sha256": "c3f867d1fb850ec2dcf1da82cbda60c881680a2851a030ab1d6c2d5819b4dc1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3908",
    "kind": "arxiv",
    "version": 2
  }
}