Pith Number

pith:DADXUY7A

pith:2009:DADXUY7A55T7CXGUNRY7N4AY6W

not attested not anchored not stored refs pending

Diffraction of singularities for the wave equation on manifolds with corners

Andras Vasy, Jared Wunsch, Richard Melrose

arxiv:0903.3208 v3 · 2009-03-18 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DADXUY7A55T7CXGUNRY7N4AY6W}

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	2026-05-18T04:22:49.017848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18077a63e0ef67f15cd46c71f6f018f588595717f18c74c7b59bf29fb564fd27

Aliases

arxiv: 0903.3208 · arxiv_version: 0903.3208v3 · doi: 10.48550/arxiv.0903.3208 · pith_short_12: DADXUY7A55T7 · pith_short_16: DADXUY7A55T7CXGU · pith_short_8: DADXUY7A

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/DADXUY7A55T7CXGUNRY7N4AY6W \
  | 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: 18077a63e0ef67f15cd46c71f6f018f588595717f18c74c7b59bf29fb564fd27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4d81090a491845955d7a3f0d70e4e617ebeb6b915503a12e50c23342519e66a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-03-18T17:36:08Z",
    "title_canon_sha256": "972f46b241789fdca0fbc8a05a58f0da7029eba4135e736a6e9a620c501aac4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.3208",
    "kind": "arxiv",
    "version": 3
  }
}