Pith Number

pith:FFOYO7JY

pith:2016:FFOYO7JYSBFLOIDZZOBR5K2MKA

not attested not anchored not stored refs pending

Constant solutions of Yang-Mills equations and generalized Proca equations

D. S. Shirokov, N. G. Marchuk

arxiv:1611.03070 v1 · 2016-11-09 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FFOYO7JYSBFLOIDZZOBR5K2MKA}

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	2026-05-18T00:48:09.427864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

295d877d38904ab72079cb831eab4c501274722524469583e88dae6725d8a9f5

Aliases

arxiv: 1611.03070 · arxiv_version: 1611.03070v1 · doi: 10.48550/arxiv.1611.03070 · pith_short_12: FFOYO7JYSBFL · pith_short_16: FFOYO7JYSBFLOIDZ · pith_short_8: FFOYO7JY

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/FFOYO7JYSBFLOIDZZOBR5K2MKA \
  | 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: 295d877d38904ab72079cb831eab4c501274722524469583e88dae6725d8a9f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5efc1f31acbbd9ee1433e8ec1c1e9135a26d2125a0f592625097d4ac4358c2ef",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-11-09T20:17:15Z",
    "title_canon_sha256": "fe924028f27ddc26fb1a652c3f0a88a1a97138feb88894043870c2105c15f071"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03070",
    "kind": "arxiv",
    "version": 1
  }
}