Pith Number

pith:VJ4WWCAB

pith:2016:VJ4WWCAB7N6QI56F45YYGPF5VC

not attested not anchored not stored refs pending

Continuum limit and stochastic homogenization of discrete ferromagnetic thin films

Andrea Braides, Marco Cicalese, Matthias Ruf

arxiv:1612.02775 v1 · 2016-12-08 · 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{VJ4WWCAB7N6QI56F45YYGPF5VC}

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	2026-05-18T00:20:56.896225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa796b0801fb7d0477c5e771833cbda8a5b19a15539dc18dad29335548858813

Aliases

arxiv: 1612.02775 · arxiv_version: 1612.02775v1 · doi: 10.48550/arxiv.1612.02775 · pith_short_12: VJ4WWCAB7N6Q · pith_short_16: VJ4WWCAB7N6QI56F · pith_short_8: VJ4WWCAB

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/VJ4WWCAB7N6QI56F45YYGPF5VC \
  | 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: aa796b0801fb7d0477c5e771833cbda8a5b19a15539dc18dad29335548858813

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c782823ea486988003e175dd2b7dd510dc7dbea2e37c9056e310d9fe9b3589a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-08T19:10:02Z",
    "title_canon_sha256": "5a0c48ce34931cd8a098a6c92ed1f374f391af89c84851a25a8d2a51369e6a6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02775",
    "kind": "arxiv",
    "version": 1
  }
}