Pith Number

pith:Y3JSM7NR

pith:2003:Y3JSM7NR6AHCOSYZW3VIA2RJOI

not attested not anchored not stored refs pending

A scalar hyperbolic equation with GR-type non-linearity

A.M. Khokhlov (Naval Research Laboratory, Copenhagen, Denmark), I.D. Novikov (Theoretical Astrophysics Center, USA), Washington DC

arxiv:gr-qc/0303063 v2 · 2003-03-18 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y3JSM7NR6AHCOSYZW3VIA2RJOI}

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	2026-05-18T01:06:47.477903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6d3267db1f00e274b19b6ea806a2972135a10f6a8fc13f799033913c8f3e75e

Aliases

arxiv: gr-qc/0303063 · arxiv_version: gr-qc/0303063v2 · doi: 10.48550/arxiv.gr-qc/0303063 · pith_short_12: Y3JSM7NR6AHC · pith_short_16: Y3JSM7NR6AHCOSYZ · pith_short_8: Y3JSM7NR

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/Y3JSM7NR6AHCOSYZW3VIA2RJOI \
  | 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: c6d3267db1f00e274b19b6ea806a2972135a10f6a8fc13f799033913c8f3e75e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5426fd7a244146fa276a578a9e4747f8790972d9c3b9d105f0fab084fe531736",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-03-18T17:00:51Z",
    "title_canon_sha256": "e15d9639573d48bc9ef4f4f03ed840d5caa5b3e85216d3417f69e5872a857331"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0303063",
    "kind": "arxiv",
    "version": 2
  }
}