Pith Number

pith:W64INKDN

pith:2022:W64INKDN2JBQNMFXBWAJDIOGQD

not attested not anchored not stored refs pending

Propagation of singularities and Fredholm analysis for the time-dependent Schr\"odinger equation

Andrew Hassell, Jesse Gell-Redman, Sean Gomes

arxiv:2201.03140 v3 · 2022-01-10 · math.AP · math.SP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W64INKDN2JBQNMFXBWAJDIOGQD}

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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.

Cited by

1 paper in Pith

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations

Receipt and verification

First computed	2026-07-05T07:11:11.804306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7b886a86dd24306b0b70d8091a1c680d2b5291c35dd91e916a4cbb01f35eed0

Aliases

arxiv: 2201.03140 · arxiv_version: 2201.03140v3 · doi: 10.48550/arxiv.2201.03140 · pith_short_12: W64INKDN2JBQ · pith_short_16: W64INKDN2JBQNMFX · pith_short_8: W64INKDN

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/W64INKDN2JBQNMFXBWAJDIOGQD \
  | 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: b7b886a86dd24306b0b70d8091a1c680d2b5291c35dd91e916a4cbb01f35eed0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bff71278ae72171b61a05a13fb5e9a0827ca02c3dfe395cc93a399b4f66db8c9",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-01-10T02:34:57Z",
    "title_canon_sha256": "ab842ee4f74924a0de379ba83fe87df1f68e170b5c43853edb89c23e8f06f624"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.03140",
    "kind": "arxiv",
    "version": 3
  }
}