Pith Number

pith:W5BPCB3J

pith:2008:W5BPCB3J6PSYJYLU3ZIA4N43YM

not attested not anchored not stored refs pending

Semiclassical second microlocal propagation of regularity and integrable systems

Andras Vasy, Jared Wunsch

arxiv:0801.0826 v2 · 2008-01-07 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5BPCB3J6PSYJYLU3ZIA4N43YM}

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	2026-05-18T04:25:39.371816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b742f10769f3e584e174de500e379bc330fb9de933717d282c2323541850a979

Aliases

arxiv: 0801.0826 · arxiv_version: 0801.0826v2 · doi: 10.48550/arxiv.0801.0826 · pith_short_12: W5BPCB3J6PSY · pith_short_16: W5BPCB3J6PSYJYLU · pith_short_8: W5BPCB3J

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/W5BPCB3J6PSYJYLU3ZIA4N43YM \
  | 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: b742f10769f3e584e174de500e379bc330fb9de933717d282c2323541850a979

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46dd03f80ef44c74d8920e17df0e16af89fd4c7fbf51fdcfffa0d4bbaf2714b3",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-01-07T01:50:52Z",
    "title_canon_sha256": "67e8b58d820995d1a2f4e1cbf23f05eec83f1c5751b2e985609e5e2639454ae3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.0826",
    "kind": "arxiv",
    "version": 2
  }
}