Pith Number

pith:S2SKP2YA

pith:2015:S2SKP2YAPF2VB4JSHBQXYHKPPJ

not attested not anchored not stored refs pending

Convexity Properties of Discrete Schr\"odinger evolutions and Hardy's Uncertainty Principle

Aingeru Fern\'andez-Bertolin

arxiv:1506.03717 v1 · 2015-06-11 · 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{S2SKP2YAPF2VB4JSHBQXYHKPPJ}

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	2026-05-18T01:53:03.471660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96a4a7eb00797550f13238617c1d4f7a5701cbeb9a4c85c729435f416d67f1e8

Aliases

arxiv: 1506.03717 · arxiv_version: 1506.03717v1 · doi: 10.48550/arxiv.1506.03717 · pith_short_12: S2SKP2YAPF2V · pith_short_16: S2SKP2YAPF2VB4JS · pith_short_8: S2SKP2YA

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/S2SKP2YAPF2VB4JSHBQXYHKPPJ \
  | 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: 96a4a7eb00797550f13238617c1d4f7a5701cbeb9a4c85c729435f416d67f1e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eeb99517f3d40f81605e16ec4787efbab966b692c3efe839cd2f7cb0691b20b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-11T15:51:23Z",
    "title_canon_sha256": "af7f9e814ef557609f42fc49dbe9846ffa8020b2945d2093c00bca6b85c2f1b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03717",
    "kind": "arxiv",
    "version": 1
  }
}