Pith Number

pith:A5TK5IIW

pith:2011:A5TK5IIW75H2ASRLAZWMIBYVID

not attested not anchored not stored refs pending

Asymptotic pointwise behavior for systems of semilinear wave equations in three space dimensions

Soichiro Katayama

arxiv:1101.3657 v2 · 2011-01-19 · 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{A5TK5IIW75H2ASRLAZWMIBYVID}

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	2026-05-18T03:54:26.339305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0766aea116ff4fa04a2b066cc4071540dc8ce475a14c0002f882de46f9a0b483

Aliases

arxiv: 1101.3657 · arxiv_version: 1101.3657v2 · doi: 10.48550/arxiv.1101.3657 · pith_short_12: A5TK5IIW75H2 · pith_short_16: A5TK5IIW75H2ASRL · pith_short_8: A5TK5IIW

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/A5TK5IIW75H2ASRLAZWMIBYVID \
  | 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: 0766aea116ff4fa04a2b066cc4071540dc8ce475a14c0002f882de46f9a0b483

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c41d66445a1b48bf37d1915196a7aebf771db19d4ccef0696f1e75345f28e200",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-01-19T10:39:46Z",
    "title_canon_sha256": "1a68e29bcbb4a957ff0b36732985bb891708e8e3a4eefc327eaaabd4c40f5065"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3657",
    "kind": "arxiv",
    "version": 2
  }
}