Pith Number

pith:QQ7H3SVH

pith:2016:QQ7H3SVHF4L23T7Y6Z2BV5SM4C

not attested not anchored not stored refs pending

Regularity and lifespan of small solutions to systems of quasi-linear wave equations with multiple speeds,I: almost global existence

Kunio Hidano

arxiv:1610.04824 v2 · 2016-10-16 · 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{QQ7H3SVHF4L23T7Y6Z2BV5SM4C}

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	2026-05-18T00:52:33.905196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

843e7dcaa72f17adcff8f6741af64ce0b6a43d9319ea4aba9503f50fbd2c4423

Aliases

arxiv: 1610.04824 · arxiv_version: 1610.04824v2 · doi: 10.48550/arxiv.1610.04824 · pith_short_12: QQ7H3SVHF4L2 · pith_short_16: QQ7H3SVHF4L23T7Y · pith_short_8: QQ7H3SVH

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/QQ7H3SVHF4L23T7Y6Z2BV5SM4C \
  | 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: 843e7dcaa72f17adcff8f6741af64ce0b6a43d9319ea4aba9503f50fbd2c4423

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5bd46dc7b716350894e1cee0214906a60b26e74c58abb558b3fb4f08a37c47e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-16T06:42:20Z",
    "title_canon_sha256": "cae793b29b1fd5d158e6bdb922bc862ff486eb87a97b3928a2a732c0c17e9566"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04824",
    "kind": "arxiv",
    "version": 2
  }
}