Pith Number

pith:PUSN3BXZ

pith:2013:PUSN3BXZ6EEPAPURNL75UKWCHL

not attested not anchored not stored refs pending

Strichartz estimates for Schr\"odinger equations on irrational tori

Tadahiro Oh, Yuzhao Wang, Zihua Guo

arxiv:1306.4973 v3 · 2013-06-20 · 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{PUSN3BXZ6EEPAPURNL75UKWCHL}

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	2026-05-18T02:56:51.968423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d24dd86f9f108f03e916affda2ac23aec6edbaa132007a7beabc71872e93688

Aliases

arxiv: 1306.4973 · arxiv_version: 1306.4973v3 · doi: 10.48550/arxiv.1306.4973 · pith_short_12: PUSN3BXZ6EEP · pith_short_16: PUSN3BXZ6EEPAPUR · pith_short_8: PUSN3BXZ

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/PUSN3BXZ6EEPAPURNL75UKWCHL \
  | 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: 7d24dd86f9f108f03e916affda2ac23aec6edbaa132007a7beabc71872e93688

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25b013f83fb47369359f0f7cdb91c1a677a65f8eb07691b2eb9440ff15daa9bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-06-20T19:46:48Z",
    "title_canon_sha256": "5a4ec9a20311c9764a7e395330ff6c09f2828dc82cbfd60286f5df6ff6749fb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4973",
    "kind": "arxiv",
    "version": 3
  }
}