Pith Number

pith:DO2KS24K

pith:2025:DO2KS24KABNUPFFBXE7Q6JN6CW

not attested not anchored not stored refs pending

On the relationship between the semiclassical and standard pseudodifferential algebras

Andr\'as Vasy

arxiv:2508.20081 v1 · 2025-08-27 · 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{DO2KS24KABNUPFFBXE7Q6JN6CW}

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	2026-07-05T12:00:24.041969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bb4a96b8a005b4794a1b93f0f25be159d3526eefd2c0ea0d7c08127a8de24e1

Aliases

arxiv: 2508.20081 · arxiv_version: 2508.20081v1 · doi: 10.48550/arxiv.2508.20081 · pith_short_12: DO2KS24KABNU · pith_short_16: DO2KS24KABNUPFFB · pith_short_8: DO2KS24K

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/DO2KS24KABNUPFFBXE7Q6JN6CW \
  | 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: 1bb4a96b8a005b4794a1b93f0f25be159d3526eefd2c0ea0d7c08127a8de24e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d35d52da11cfbecd25d0cb6a5dc0d92715e93946c3b544a71c5913be3845045d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-08-27T17:47:23Z",
    "title_canon_sha256": "1be4f98913fbd7d153607ae99b3cfcbe40c24c3fde80d9abc22ad4f4a0c1732b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.20081",
    "kind": "arxiv",
    "version": 1
  }
}