Pith Number

pith:PEZ7WT7C

pith:2018:PEZ7WT7CX4A4N4TE6EC76GJYLB

not attested not anchored not stored refs pending

Cahn-Hilliard equation on the boundary with bulk condition of Allen-Cahn type

Pierluigi Colli, Takeshi Fukao

arxiv:1803.05314 v4 · 2018-03-12 · 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{PEZ7WT7CX4A4N4TE6EC76GJYLB}

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	2026-05-18T00:15:51.728394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7933fb4fe2bf01c6f264f105ff1938587f9197c16d202d65d1ee1283c5be3f17

Aliases

arxiv: 1803.05314 · arxiv_version: 1803.05314v4 · doi: 10.48550/arxiv.1803.05314 · pith_short_12: PEZ7WT7CX4A4 · pith_short_16: PEZ7WT7CX4A4N4TE · pith_short_8: PEZ7WT7C

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/PEZ7WT7CX4A4N4TE6EC76GJYLB \
  | 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: 7933fb4fe2bf01c6f264f105ff1938587f9197c16d202d65d1ee1283c5be3f17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ba1006e2cea34e05f10161c9d8a3411ecea8ba96d0f499c71cc7533df712ed5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-12T23:46:07Z",
    "title_canon_sha256": "440e819d9d53c1b1da4af1bdc891d98e6b178cc390fe7cf62ad8aeb1351ceccf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.05314",
    "kind": "arxiv",
    "version": 4
  }
}