Pith Number

pith:DFNJ24HP

pith:2012:DFNJ24HP7OEXOREWSPOVDCIGCI

not attested not anchored not stored refs pending

Semilinear hyperbolic systems violating the null condition

Hideaki Sunagawa, Soichiro Katayama, Toshiaki Matoba

arxiv:1206.0066 v2 · 2012-06-01 · 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{DFNJ24HP7OEXOREWSPOVDCIGCI}

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	2026-05-18T03:28:30.597728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

195a9d70effb8977449693dd5189061205da124c38ce5983f700dad450a2c160

Aliases

arxiv: 1206.0066 · arxiv_version: 1206.0066v2 · doi: 10.48550/arxiv.1206.0066 · pith_short_12: DFNJ24HP7OEX · pith_short_16: DFNJ24HP7OEXOREW · pith_short_8: DFNJ24HP

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/DFNJ24HP7OEXOREWSPOVDCIGCI \
  | 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: 195a9d70effb8977449693dd5189061205da124c38ce5983f700dad450a2c160

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "972e7b90c35ef8d75bebe971a08ed101aea5d6437af4fce1f75d8611a92d6143",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-06-01T02:02:22Z",
    "title_canon_sha256": "a9ad2b27188f1c2b516dd99f55beb77baeb1e72547500755a91771dac87d3f9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0066",
    "kind": "arxiv",
    "version": 2
  }
}