Pith Number

pith:VPLKA4I7

pith:2014:VPLKA4I7JNGYJGT3J2BTBY4P6S

not attested not anchored not stored refs pending

Sharp spherically averaged Strichartz estimates for the Schr\"odinger equation

Zihua Guo

arxiv:1406.2525 v1 · 2014-06-10 · 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{VPLKA4I7JNGYJGT3J2BTBY4P6S}

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	2026-05-18T02:50:01.527953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abd6a0711f4b4d849a7b4e8330e38ff490df4cc1f06a7ad1ebd158d30f9a6c88

Aliases

arxiv: 1406.2525 · arxiv_version: 1406.2525v1 · doi: 10.48550/arxiv.1406.2525 · pith_short_12: VPLKA4I7JNGY · pith_short_16: VPLKA4I7JNGYJGT3 · pith_short_8: VPLKA4I7

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/VPLKA4I7JNGYJGT3J2BTBY4P6S \
  | 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: abd6a0711f4b4d849a7b4e8330e38ff490df4cc1f06a7ad1ebd158d30f9a6c88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f75d43db5d52f15be312f17c737244b3f2f69fc7f104e84aa48fb8cfcb257186",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-06-10T12:29:11Z",
    "title_canon_sha256": "480c5fac7904e08abdd4beb8ccaa7be46c8884d50d7ce07a4f4d80f8ee3f0e87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.2525",
    "kind": "arxiv",
    "version": 1
  }
}