Pith Number

pith:6PHN4UMT

pith:2018:6PHN4UMTK5TS7CRGXATFODEDLQ

not attested not anchored not stored refs pending

Existence and energy estimates of weak solutions for nonlocal Cahn--Hilliard equations on unbounded domains

Shunsuke Kurima

arxiv:1806.06361 v1 · 2018-06-17 · 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{6PHN4UMTK5TS7CRGXATFODEDLQ}

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	2026-05-18T00:13:02.712078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3cede519357672f8a26b826570c835c0a58476137d092a5814dfcf1c78c0a2b

Aliases

arxiv: 1806.06361 · arxiv_version: 1806.06361v1 · doi: 10.48550/arxiv.1806.06361 · pith_short_12: 6PHN4UMTK5TS · pith_short_16: 6PHN4UMTK5TS7CRG · pith_short_8: 6PHN4UMT

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/6PHN4UMTK5TS7CRGXATFODEDLQ \
  | 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: f3cede519357672f8a26b826570c835c0a58476137d092a5814dfcf1c78c0a2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "235ce71d825b696b16002f18525328ce1025d1472df129d29502f73928575aee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-17T10:47:21Z",
    "title_canon_sha256": "1cdc494b44e44f486afa61fbf8fb20a8af257ee8dc471e9abfe6accf039b9bf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.06361",
    "kind": "arxiv",
    "version": 1
  }
}