Pith Number

pith:RTZLJX4D

pith:2018:RTZLJX4DBQCDM6MTANQJAYO4FG

not attested not anchored not stored refs pending

A Short Note on Helmholtz Decompositions for Bounded Domains in $\mathbb{R}^3$

Immanuel Anjam

arxiv:1806.02379 v3 · 2018-06-06 · 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{RTZLJX4DBQCDM6MTANQJAYO4FG}

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	2026-05-17T23:40:14.144540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cf2b4df830c0436799303609061dc29b7ea9ab51464c33691cdc320a2edb47f

Aliases

arxiv: 1806.02379 · arxiv_version: 1806.02379v3 · doi: 10.48550/arxiv.1806.02379 · pith_short_12: RTZLJX4DBQCD · pith_short_16: RTZLJX4DBQCDM6MT · pith_short_8: RTZLJX4D

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/RTZLJX4DBQCDM6MTANQJAYO4FG \
  | 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: 8cf2b4df830c0436799303609061dc29b7ea9ab51464c33691cdc320a2edb47f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce411cd5f628be10b2f0cde02f96a719ea10dd967d7c30194f2273f470ddd70c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-06T18:45:51Z",
    "title_canon_sha256": "936f6bf50c105ff9a8c69ff7fb3e6882819e98a952fe14b52ea4ca31f5d3cf1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02379",
    "kind": "arxiv",
    "version": 3
  }
}