Pith Number

pith:NXXLXLVZ

pith:2013:NXXLXLVZPSTSVNGUIUONWLR7HO

not attested not anchored not stored refs pending

Remark on the Helmholtz decomposition in domains with noncompact boundary

Hideyuki Miura, Yasunori Maekawa

arxiv:1307.8168 v1 · 2013-07-30 · 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{NXXLXLVZPSTSVNGUIUONWLR7HO}

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	2026-05-18T03:17:02.184110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6deebbaeb97ca72ab4d4451cdb2e3f3baed48d739e4c7117c5ccba5c41e62613

Aliases

arxiv: 1307.8168 · arxiv_version: 1307.8168v1 · doi: 10.48550/arxiv.1307.8168 · pith_short_12: NXXLXLVZPSTS · pith_short_16: NXXLXLVZPSTSVNGU · pith_short_8: NXXLXLVZ

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/NXXLXLVZPSTSVNGUIUONWLR7HO \
  | 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: 6deebbaeb97ca72ab4d4451cdb2e3f3baed48d739e4c7117c5ccba5c41e62613

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37e4b745908e9fe6c5871e09fa8b7871179b9b3f7e11e9466c70ceb20741796b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-30T22:58:26Z",
    "title_canon_sha256": "449d203350bb9b0257eea2554308ab341ba4e8b794d3bd0a9a9b66b8786708ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8168",
    "kind": "arxiv",
    "version": 1
  }
}