Pith Number

pith:2CWOCUZB

pith:2009:2CWOCUZBUZ6LQLPQS3P3RBX6GU

not attested not anchored not stored refs pending

Uncertainty Principle of Morgan type and Schr\"odinger Evolutions

C. E. Kenig, G. Ponce, L. Escauriaza, L. Vega

arxiv:0909.3287 v1 · 2009-09-17 · 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{2CWOCUZBUZ6LQLPQS3P3RBX6GU}

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	2026-05-18T02:58:02.769199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0ace15321a67cb82df096dfb886fe35313da8dc188f757d11fc1126f5c03ef8

Aliases

arxiv: 0909.3287 · arxiv_version: 0909.3287v1 · doi: 10.48550/arxiv.0909.3287 · pith_short_12: 2CWOCUZBUZ6L · pith_short_16: 2CWOCUZBUZ6LQLPQ · pith_short_8: 2CWOCUZB

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/2CWOCUZBUZ6LQLPQS3P3RBX6GU \
  | 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: d0ace15321a67cb82df096dfb886fe35313da8dc188f757d11fc1126f5c03ef8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "605092a7e7c2c6b04aacf9b976e37dfea5ca2c6794b1118568e11522914b5955",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-09-17T18:17:11Z",
    "title_canon_sha256": "82c7218869f1092c205d32e32a6721056425465f21174199cfbdffe063203a87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.3287",
    "kind": "arxiv",
    "version": 1
  }
}