Pith Number

pith:GYIUG4EA

pith:2019:GYIUG4EASERWGI3U52QDEHPMEN

not attested not anchored not stored refs pending

Thresholds for low regularity solutions to wave equations with structural damping

Hironori Michihisa, Ryo Ikehata, Tomonori Fukushima

arxiv:1907.09299 v1 · 2019-07-22 · 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{GYIUG4EASERWGI3U52QDEHPMEN}

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	2026-05-17T23:39:59.562078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36114370809123632374eea0321dec2345df87a191b914583bb113f712e6293c

Aliases

arxiv: 1907.09299 · arxiv_version: 1907.09299v1 · doi: 10.48550/arxiv.1907.09299 · pith_short_12: GYIUG4EASERW · pith_short_16: GYIUG4EASERWGI3U · pith_short_8: GYIUG4EA

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/GYIUG4EASERWGI3U52QDEHPMEN \
  | 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: 36114370809123632374eea0321dec2345df87a191b914583bb113f712e6293c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8de626fdfe1df9d32a25d419a8a0f6dfab0934948b98b20bab8bbd93bae96a7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-22T13:12:56Z",
    "title_canon_sha256": "a56872c7b2a3f406c7122a1d9c2e984d26ccaf293f3290463cc3bb105e9133db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09299",
    "kind": "arxiv",
    "version": 1
  }
}