pith. sign in
Pith Number

pith:YBXZUUGM

pith:2015:YBXZUUGMXIZUFAWMJFPJIR2GGR
not attested not anchored not stored refs pending

Surface Energies Emerging in a Microscopic, Two-Dimensional Two-Well Problem

Angkana R\"uland, Georgy Kitavtsev, Stephan Luckhaus

arxiv:1509.08220 v1 · 2015-09-28 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YBXZUUGMXIZUFAWMJFPJIR2GGR}

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 2026-05-18T01:31:54.451279Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c06f9a50ccba334282cc495e944746344434353b1edfc790401ec4aa18d7b335

Aliases

arxiv: 1509.08220 · arxiv_version: 1509.08220v1 · doi: 10.48550/arxiv.1509.08220 · pith_short_12: YBXZUUGMXIZU · pith_short_16: YBXZUUGMXIZUFAWM · pith_short_8: YBXZUUGM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YBXZUUGMXIZUFAWMJFPJIR2GGR \
  | 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: c06f9a50ccba334282cc495e944746344434353b1edfc790401ec4aa18d7b335
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f8f22a2d789fdb34dcc1708b8b4b5cf39c477920cc4db039b2e273da4cbac857",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-28T07:14:18Z",
    "title_canon_sha256": "b0c5767a25e11021059811bb36995e6c6101b69b5574de7e8947ffb0811ac1f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08220",
    "kind": "arxiv",
    "version": 1
  }
}