Pith Number

pith:7GWFXO23

pith:2015:7GWFXO234YZSZGXNK3KVPW2MWI

not attested not anchored not stored refs pending

The frequency-localization technique and minimal decay-regularity for Euler-Maxwell equations

Jiang Xu, Shuichi Kawashima

arxiv:1510.08537 v1 · 2015-10-29 · 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{7GWFXO234YZSZGXNK3KVPW2MWI}

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	2026-05-18T01:28:28.599543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9ac5bbb5be6332c9aed56d557db4cb2018520a0d3bbb71d902bf97da6ea330a

Aliases

arxiv: 1510.08537 · arxiv_version: 1510.08537v1 · doi: 10.48550/arxiv.1510.08537 · pith_short_12: 7GWFXO234YZS · pith_short_16: 7GWFXO234YZSZGXN · pith_short_8: 7GWFXO23

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/7GWFXO234YZSZGXNK3KVPW2MWI \
  | 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: f9ac5bbb5be6332c9aed56d557db4cb2018520a0d3bbb71d902bf97da6ea330a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c7c820163a751e325b98ac57d0d37781e52acf1bc9915de8bf5415b5a9d3d23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-29T01:33:04Z",
    "title_canon_sha256": "429d0d19d84cbbfbed054adf4acd5046e16ed289f45b745958226393e4b49f54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08537",
    "kind": "arxiv",
    "version": 1
  }
}