Pith Number

pith:M5CGXXVD

pith:2019:M5CGXXVDCC5QIY5YFZFJKSRG7S

not attested not anchored not stored refs pending

Applications of microlocal analysis to inverse problems

Mikko Salo

arxiv:1908.03041 v1 · 2019-08-08 · 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{M5CGXXVDCC5QIY5YFZFJKSRG7S}

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	2026-07-04T23:52:25.644174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67446bdea310bb0463b82e4a954a26fc8e0b78ed90b02dbe3f37ac90d3d0fe51

Aliases

arxiv: 1908.03041 · arxiv_version: 1908.03041v1 · doi: 10.48550/arxiv.1908.03041 · pith_short_12: M5CGXXVDCC5Q · pith_short_16: M5CGXXVDCC5QIY5Y · pith_short_8: M5CGXXVD

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/M5CGXXVDCC5QIY5YFZFJKSRG7S \
  | 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: 67446bdea310bb0463b82e4a954a26fc8e0b78ed90b02dbe3f37ac90d3d0fe51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ec4bd99211f6869be3d100aa81cb5d140a081eb7e04b5735af5f2c91fa2cf14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-08T12:37:39Z",
    "title_canon_sha256": "cbb17bf1e9d4ba97ce9e95ef3b40f15c1fc9f7cef06ff531abdd0b5728741530"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03041",
    "kind": "arxiv",
    "version": 1
  }
}