Pith Number

pith:KPF6IE5A

pith:2018:KPF6IE5APJWGGR5NUBBDLLHB5J

not attested not anchored not stored refs pending

Asymptotic analysis for Cahn--Hilliard type phase field systems related to tumor growth in general domains

Shunsuke Kurima

arxiv:1808.03771 v1 · 2018-08-11 · 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{KPF6IE5APJWGGR5NUBBDLLHB5J}

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	2026-05-17T23:47:30.574030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53cbe413a07a6c6347ada04235ace1ea781c8c9decab60eca6f1538fa7fb2b20

Aliases

arxiv: 1808.03771 · arxiv_version: 1808.03771v1 · doi: 10.48550/arxiv.1808.03771 · pith_short_12: KPF6IE5APJWG · pith_short_16: KPF6IE5APJWGGR5N · pith_short_8: KPF6IE5A

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/KPF6IE5APJWGGR5NUBBDLLHB5J \
  | 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: 53cbe413a07a6c6347ada04235ace1ea781c8c9decab60eca6f1538fa7fb2b20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8be4d528a5b90f1d4aaad2250c4f8c633a68f9aa2f25745dd4dc901f06f72bab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-11T08:11:07Z",
    "title_canon_sha256": "7eff7f1632321b10decb502a1d0f677d210c60e6838eee0a3f9e68fb8716eb72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03771",
    "kind": "arxiv",
    "version": 1
  }
}