Pith Number

pith:ZZ2DRHYT

pith:2021:ZZ2DRHYTDQDN3EJQIMTFKFXVWW

not attested not anchored not stored refs pending

Microlocal analysis of the light ray transform on globally hyperbolic Lorentzian manifolds

Yiran Wang

arxiv:2104.08576 v1 · 2021-04-17 · 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{ZZ2DRHYTDQDN3EJQIMTFKFXVWW}

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	2026-07-05T02:32:53.719691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce74389f131c06dd913043265516f5b5b6e641d7e2d42b8395bde4276c219eb4

Aliases

arxiv: 2104.08576 · arxiv_version: 2104.08576v1 · doi: 10.48550/arxiv.2104.08576 · pith_short_12: ZZ2DRHYTDQDN · pith_short_16: ZZ2DRHYTDQDN3EJQ · pith_short_8: ZZ2DRHYT

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/ZZ2DRHYTDQDN3EJQIMTFKFXVWW \
  | 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: ce74389f131c06dd913043265516f5b5b6e641d7e2d42b8395bde4276c219eb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c545a8af32bb2b56f89cc8105897c3d1eb7fbb626b84c59e1279fc2d39319b1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-04-17T15:37:01Z",
    "title_canon_sha256": "ee636e4f33104a49cd207cd0ede419d0a1fc30783db5c294a57d5423d837b431"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.08576",
    "kind": "arxiv",
    "version": 1
  }
}