Pith Number

pith:JU6AXXR2

pith:2015:JU6AXXR2ZZ7G6SZVWIROCZNP4U

not attested not anchored not stored refs pending

The Helmholtz decomposition of decreasing and weakly increasing vector fields

D. Petrascheck, R. Folk

arxiv:1506.00235 v2 · 2015-05-31 · physics.class-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JU6AXXR2ZZ7G6SZVWIROCZNP4U}

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	2026-05-18T01:30:15.132075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d3c0bde3ace7e6f4b35b222e165afe5328e52b7fd051df41e2ae62d3c45d063

Aliases

arxiv: 1506.00235 · arxiv_version: 1506.00235v2 · doi: 10.48550/arxiv.1506.00235 · pith_short_12: JU6AXXR2ZZ7G · pith_short_16: JU6AXXR2ZZ7G6SZV · pith_short_8: JU6AXXR2

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/JU6AXXR2ZZ7G6SZVWIROCZNP4U \
  | 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: 4d3c0bde3ace7e6f4b35b222e165afe5328e52b7fd051df41e2ae62d3c45d063

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4c352deb4c24f6ce68af6ff8c1dfb93ac36d554af17ff0ec0b11cf0b0c41915",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2015-05-31T14:21:02Z",
    "title_canon_sha256": "d3fae30b2f1ba623f30f121a2a16323852eb9020b220427278a7a76f9950cb83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00235",
    "kind": "arxiv",
    "version": 2
  }
}