Pith Number

pith:D2ZKTDDD

pith:2010:D2ZKTDDDCDCAGK27E5KSXBZJ7J

not attested not anchored not stored refs pending

Schr\"odinger dispersive estimates for a scaling-critical class of potentials

Marius Beceanu, Michael Goldberg

arxiv:1009.5285 v1 · 2010-09-27 · 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{D2ZKTDDDCDCAGK27E5KSXBZJ7J}

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	2026-05-18T01:07:21.451940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1eb2a98c6310c4032b5f27552b8729fa4a62dd29745a64adae57ca26d8c24d90

Aliases

arxiv: 1009.5285 · arxiv_version: 1009.5285v1 · doi: 10.48550/arxiv.1009.5285 · pith_short_12: D2ZKTDDDCDCA · pith_short_16: D2ZKTDDDCDCAGK27 · pith_short_8: D2ZKTDDD

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/D2ZKTDDDCDCAGK27E5KSXBZJ7J \
  | 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: 1eb2a98c6310c4032b5f27552b8729fa4a62dd29745a64adae57ca26d8c24d90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b33af9d4267e45fddc4826a73273d3062e4234b72670b8c9e4e5707d1240079d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-27T15:18:02Z",
    "title_canon_sha256": "2f38711620831bc29d694fb3b86210d04eb3f777f12c49037c935b5bebaa1fa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5285",
    "kind": "arxiv",
    "version": 1
  }
}