Pith Number

pith:KEPZPBZY

pith:2018:KEPZPBZYILUU5B4NGA3E5LQO6T

not attested not anchored not stored refs pending

Long-range phase coexistence models: recent progress on the fractional Allen-Cahn equation

Enrico Valdinoci, Serena Dipierro

arxiv:1803.03850 v3 · 2018-03-10 · 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{KEPZPBZYILUU5B4NGA3E5LQO6T}

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	2026-05-18T00:20:29.760454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

511f97873842e94e878d30364eae0ef4f5c3278d6b0e9b28b2eef3ac5d7b5b0f

Aliases

arxiv: 1803.03850 · arxiv_version: 1803.03850v3 · doi: 10.48550/arxiv.1803.03850 · pith_short_12: KEPZPBZYILUU · pith_short_16: KEPZPBZYILUU5B4N · pith_short_8: KEPZPBZY

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/KEPZPBZYILUU5B4NGA3E5LQO6T \
  | 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: 511f97873842e94e878d30364eae0ef4f5c3278d6b0e9b28b2eef3ac5d7b5b0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29aa696c6b3cdcb143976cfba3ecfb786e94a4690ddd1b22e0fb3cabc8a067f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-10T18:32:28Z",
    "title_canon_sha256": "e6caf9a57bf9674f0f4a47000693befc3452eec329c5b932e12098a70cd9a73f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03850",
    "kind": "arxiv",
    "version": 3
  }
}