Pith Number

pith:U5OXDLDV

pith:2016:U5OXDLDVPYBWJBJCBMMHHFYN5I

not attested not anchored not stored refs pending

Existence of cylindrically symmetric ground states to a nonlinear curl-curl equation with non-constant coefficients

Andreas Hirsch, Wolfgang Reichel

arxiv:1606.04415 v1 · 2016-06-14 · 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{U5OXDLDVPYBWJBJCBMMHHFYN5I}

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	2026-05-18T01:12:25.631525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a75d71ac757e036485220b1873970dea14ff7f2621259aff2a4432e474666adb

Aliases

arxiv: 1606.04415 · arxiv_version: 1606.04415v1 · doi: 10.48550/arxiv.1606.04415 · pith_short_12: U5OXDLDVPYBW · pith_short_16: U5OXDLDVPYBWJBJC · pith_short_8: U5OXDLDV

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/U5OXDLDVPYBWJBJCBMMHHFYN5I \
  | 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: a75d71ac757e036485220b1873970dea14ff7f2621259aff2a4432e474666adb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6fd8d3c502508c771c0bf4a3a05a27e5fb0977601b3dba742c9ad915a667dc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-14T15:13:47Z",
    "title_canon_sha256": "74d69b5f8c12641738fc2bad14c1cb211798a87645e07720779b4fb47ebcd7b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04415",
    "kind": "arxiv",
    "version": 1
  }
}