Pith Number

pith:HV2EXMHO

pith:2015:HV2EXMHORWP77ZD4R6LD24OQFM

not attested not anchored not stored refs pending

Low Regularity Ray Tracing for Wave Equations with Gaussian beams

Alden Waters

arxiv:1512.02180 v6 · 2015-12-07 · 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{HV2EXMHORWP77ZD4R6LD24OQFM}

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	2026-05-18T00:09:31.589995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d744bb0ee8d9fffe47c8f963d71d02b00e75a3ab4363b7703d726354d74883d

Aliases

arxiv: 1512.02180 · arxiv_version: 1512.02180v6 · doi: 10.48550/arxiv.1512.02180 · pith_short_12: HV2EXMHORWP7 · pith_short_16: HV2EXMHORWP77ZD4 · pith_short_8: HV2EXMHO

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/HV2EXMHORWP77ZD4R6LD24OQFM \
  | 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: 3d744bb0ee8d9fffe47c8f963d71d02b00e75a3ab4363b7703d726354d74883d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9838045929a6cf861e05804fb28da947f2a0918168e6add60daaeda1662fcce0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-07T19:22:25Z",
    "title_canon_sha256": "a7596bfa1665d05179b358a7d430553ab043138d4a782726f2df83ece9ef594e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02180",
    "kind": "arxiv",
    "version": 6
  }
}