Pith Number

pith:3CKBQQ5P

pith:2007:3CKBQQ5PVA7NH4RLESRP4VMNCW

not attested not anchored not stored refs pending

Some new Strichartz estimates for the Schr\"odinger equation

Elena Cordero, Fabio Nicola

arxiv:0707.4584 v1 · 2007-07-31 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3CKBQQ5PVA7NH4RLESRP4VMNCW}

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	2026-05-18T01:11:55.684379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8941843afa83ed3f22b24a2fe558d158bdb19f40b2a4591a9628f882b25b6fd

Aliases

arxiv: 0707.4584 · arxiv_version: 0707.4584v1 · doi: 10.48550/arxiv.0707.4584 · pith_short_12: 3CKBQQ5PVA7N · pith_short_16: 3CKBQQ5PVA7NH4RL · pith_short_8: 3CKBQQ5P

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/3CKBQQ5PVA7NH4RLESRP4VMNCW \
  | 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: d8941843afa83ed3f22b24a2fe558d158bdb19f40b2a4591a9628f882b25b6fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c503913a6b2d245cdab98b9091dc748d059505a689e446f1fb005ea6ba827d5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-07-31T11:08:44Z",
    "title_canon_sha256": "613fab03e5acefc1ca068c4d11f9246c0df62db98e97888406169f69d666f6cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.4584",
    "kind": "arxiv",
    "version": 1
  }
}