Pith Number

pith:62U3FTF2

pith:2016:62U3FTF2EYTSU7SV3CPT7SWKZ2

not attested not anchored not stored refs pending

Optimal design of mixtures of ferromagnetic interactions

Andrea Braides, Leonard Kreutz

arxiv:1610.06455 v1 · 2016-10-20 · math.OC · math-ph · math.AP · 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{62U3FTF2EYTSU7SV3CPT7SWKZ2}

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	2026-05-18T01:01:43.154095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6a9b2ccba26272a7e55d89f3fcacace89279228e60460ae18e741127fe70687

Aliases

arxiv: 1610.06455 · arxiv_version: 1610.06455v1 · doi: 10.48550/arxiv.1610.06455 · pith_short_12: 62U3FTF2EYTS · pith_short_16: 62U3FTF2EYTSU7SV · pith_short_8: 62U3FTF2

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/62U3FTF2EYTSU7SV3CPT7SWKZ2 \
  | 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: f6a9b2ccba26272a7e55d89f3fcacace89279228e60460ae18e741127fe70687

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e3d874238cd1066dc982c1bbe23dc268047ebea57e776fd95615798883bf6e4",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-10-20T15:24:43Z",
    "title_canon_sha256": "3012e39f9994524a6d6f7e90ba19144bda089ea24ee6678a2833acebda7501a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06455",
    "kind": "arxiv",
    "version": 1
  }
}