Pith Number

pith:IDXPF4BQ

pith:2014:IDXPF4BQWOWCU2F73LOJDL7QUE

not attested not anchored not stored refs pending

Dispersive Estimates for higher dimensional Schr\"odinger Operators with threshold eigenvalues II: The even dimensional case

Michael Goldberg, William R. Green

arxiv:1409.6328 v2 · 2014-09-22 · 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{IDXPF4BQWOWCU2F73LOJDL7QUE}

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	2026-05-18T00:05:56.971925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40eef2f030b3ac2a68bfdadc91aff0a113f6ac66cb02091367dee3bfd3693997

Aliases

arxiv: 1409.6328 · arxiv_version: 1409.6328v2 · doi: 10.48550/arxiv.1409.6328 · pith_short_12: IDXPF4BQWOWC · pith_short_16: IDXPF4BQWOWCU2F7 · pith_short_8: IDXPF4BQ

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/IDXPF4BQWOWCU2F73LOJDL7QUE \
  | 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: 40eef2f030b3ac2a68bfdadc91aff0a113f6ac66cb02091367dee3bfd3693997

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd4884c09346ed6e7d5a718598373f1c43ba701a6c1bc429b0419bd3c40c612d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-09-22T20:07:00Z",
    "title_canon_sha256": "a5a75684b6faff91e1865ed656f6bde0bae2a7e7831e2326564ac9e4e56f0cdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6328",
    "kind": "arxiv",
    "version": 2
  }
}