Pith Number

pith:YGUC55CX

pith:2016:YGUC55CXZBCB4EG2TIT4JLG7WW

not attested not anchored not stored refs pending

Cahn-Hilliard approach to some degenerate parabolic equations with dynamic boundary conditions

Takeshi Fukao

arxiv:1608.07913 v1 · 2016-08-29 · 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{YGUC55CXZBCB4EG2TIT4JLG7WW}

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	2026-05-18T01:07:49.609743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1a82ef457c8441e10da9a27c4acdfb587039bd073623a91f7b3f58836ccb729

Aliases

arxiv: 1608.07913 · arxiv_version: 1608.07913v1 · doi: 10.48550/arxiv.1608.07913 · pith_short_12: YGUC55CXZBCB · pith_short_16: YGUC55CXZBCB4EG2 · pith_short_8: YGUC55CX

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/YGUC55CXZBCB4EG2TIT4JLG7WW \
  | 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: c1a82ef457c8441e10da9a27c4acdfb587039bd073623a91f7b3f58836ccb729

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b13218758016aeb8d79f40a70b2213c4b087a6ac0c2f0c04885f8dc7076801a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-29T04:49:21Z",
    "title_canon_sha256": "bb9319525b8d52d92898ab7d96eb2bc249473c94a0133680c790935f7cfc4b4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07913",
    "kind": "arxiv",
    "version": 1
  }
}