Pith Number

pith:YSM65GVK

pith:2011:YSM65GVKUVDVYZUBDF3GBQPMGP

not attested not anchored not stored refs pending

Uniqueness Properties of Solutions to Schr\"odinger Equations

Carlos E. Kenig, Gustavo Ponce, Luis Escauriaza, Luis Vega

arxiv:1110.4873 v2 · 2011-10-21 · 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{YSM65GVKUVDVYZUBDF3GBQPMGP}

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	2026-05-18T04:06:44.640188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c499ee9aaaa5475c6681197660c1ec33e69343f9beacadf90c68ec5d9e106c0a

Aliases

arxiv: 1110.4873 · arxiv_version: 1110.4873v2 · doi: 10.48550/arxiv.1110.4873 · pith_short_12: YSM65GVKUVDV · pith_short_16: YSM65GVKUVDVYZUB · pith_short_8: YSM65GVK

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/YSM65GVKUVDVYZUBDF3GBQPMGP \
  | 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: c499ee9aaaa5475c6681197660c1ec33e69343f9beacadf90c68ec5d9e106c0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11df31886d85bead91739aff10117cba7288d1b752e8d9a434b2f81047011466",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-10-21T19:06:59Z",
    "title_canon_sha256": "3a0e1b300228ac545d45091cbd65038c9e0648c49875e6f1eebbd9c6fa27a7a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4873",
    "kind": "arxiv",
    "version": 2
  }
}