Pith Number

pith:DAHN2ER3

pith:2019:DAHN2ER3CVLGMULXPC3KGIDRMB

not attested not anchored not stored refs pending

On the light ray transform of wave equation solutions

Andr\'as Vasy, Yiran Wang

arxiv:1912.02848 v2 · 2019-12-05 · 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{DAHN2ER3CVLGMULXPC3KGIDRMB}

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	2026-07-05T02:02:51.677213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

180edd123b155666517778b6a32071607fca5046d0e606500ce81f4774ed99b5

Aliases

arxiv: 1912.02848 · arxiv_version: 1912.02848v2 · doi: 10.48550/arxiv.1912.02848 · pith_short_12: DAHN2ER3CVLG · pith_short_16: DAHN2ER3CVLGMULX · pith_short_8: DAHN2ER3

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/DAHN2ER3CVLGMULXPC3KGIDRMB \
  | 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: 180edd123b155666517778b6a32071607fca5046d0e606500ce81f4774ed99b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a7a9e1255523f12f239057148620b5ee6af3213d9d4c3327b920c47d0630233",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-12-05T19:27:05Z",
    "title_canon_sha256": "b3810452cfcdb545a4a2b2782c5953d34c6d2d850abca4a408862189b8e9be54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.02848",
    "kind": "arxiv",
    "version": 2
  }
}