Pith Number

pith:DRUGD4PY

pith:2016:DRUGD4PY3TEY3DZSHKPCYY3PHJ

not attested not anchored not stored refs pending

Generalized Fuzzy Euler-Lagrange equations and transversality conditions

A.H. Borzabadi, J. Soolaki, O.S. Fard, R. Almeida

arxiv:1612.07916 v1 · 2016-12-23 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DRUGD4PY3TEY3DZSHKPCYY3PHJ}

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	2026-05-18T00:54:05.338613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c6861f1f8dcc98d8f323a9e2c636f3a45519b6d647f528fe57bfc99b80285ed

Aliases

arxiv: 1612.07916 · arxiv_version: 1612.07916v1 · doi: 10.48550/arxiv.1612.07916 · pith_short_12: DRUGD4PY3TEY · pith_short_16: DRUGD4PY3TEY3DZS · pith_short_8: DRUGD4PY

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/DRUGD4PY3TEY3DZSHKPCYY3PHJ \
  | 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: 1c6861f1f8dcc98d8f323a9e2c636f3a45519b6d647f528fe57bfc99b80285ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6ba1b3d6e1fc2656b666b8ba6c991d0420809696ce2480b8bc5b9bfd9c9e9c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-12-23T10:05:51Z",
    "title_canon_sha256": "6a81739ef798b8f9122beeea1d215281a4b30aa095a01dc1cd5582c4078bd0a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07916",
    "kind": "arxiv",
    "version": 1
  }
}