Pith Number

pith:2UQ6OFIY

pith:2015:2UQ6OFIYY5ZAR6OOFR4FLUE3BN

not attested not anchored not stored refs pending

Endpoint Strichartz Estimates for Charge Transfer Hamiltonians

Avy Soffer, Qingquan Deng, Xiaohua Yao

arxiv:1507.03870 v3 · 2015-07-14 · 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{2UQ6OFIYY5ZAR6OOFR4FLUE3BN}

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	2026-05-18T00:50:52.471733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d521e71518c77208f9ce2c7855d09b0b527760888c4ee190bee79ef8f7080590

Aliases

arxiv: 1507.03870 · arxiv_version: 1507.03870v3 · doi: 10.48550/arxiv.1507.03870 · pith_short_12: 2UQ6OFIYY5ZA · pith_short_16: 2UQ6OFIYY5ZAR6OO · pith_short_8: 2UQ6OFIY

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/2UQ6OFIYY5ZAR6OOFR4FLUE3BN \
  | 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: d521e71518c77208f9ce2c7855d09b0b527760888c4ee190bee79ef8f7080590

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b27653c610a668a70a325ce68945c30f1da9c1dd185fd39cdba807c320a9b07d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-14T14:52:36Z",
    "title_canon_sha256": "8c4d2da4d156c93a51929ff467b60eb2b7b20a95706b99f5bd9c19d84f88d625"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03870",
    "kind": "arxiv",
    "version": 3
  }
}