pith. sign in
Pith Number

pith:32VKTWV6

pith:2016:32VKTWV6JQV7EAFEZ46Y56KRIU
not attested not anchored not stored refs pending

Asymptotics for the fractional Allen-Cahn equation and stationary nonlocal minimal surfaces

Kelei Wang, Vincent Millot, Yannick Sire

arxiv:1610.07194 v2 · 2016-10-23 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{32VKTWV6JQV7EAFEZ46Y56KRIU}

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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 2026-05-18T01:00:59.614783Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

deaaa9dabe4c2bf200a4cf3d8ef951453188c37c862b01d2afcdaf5b091ceb0b

Aliases

arxiv: 1610.07194 · arxiv_version: 1610.07194v2 · doi: 10.48550/arxiv.1610.07194 · pith_short_12: 32VKTWV6JQV7 · pith_short_16: 32VKTWV6JQV7EAFE · pith_short_8: 32VKTWV6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/32VKTWV6JQV7EAFEZ46Y56KRIU \
  | 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: deaaa9dabe4c2bf200a4cf3d8ef951453188c37c862b01d2afcdaf5b091ceb0b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b610dfa0298fc2d1d45c65f32c2123edb8788a2a79468456a17d233b4bda7cd1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-23T16:23:34Z",
    "title_canon_sha256": "50154428af9e98b970964e7c0a06ea427492ecbc94ee118ccabc662096b61452"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07194",
    "kind": "arxiv",
    "version": 2
  }
}