Pith Number

pith:CZUYNVS2

pith:2015:CZUYNVS2YSG4VCMDWLCZTOJPTY

not attested not anchored not stored refs pending

Nonlinear diffusion equations as asymptotic limits of Cahn-Hilliard systems

Pierluigi Colli, Takeshi Fukao

arxiv:1511.08853 v1 · 2015-11-27 · 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{CZUYNVS2YSG4VCMDWLCZTOJPTY}

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	2026-05-18T01:25:46.270784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

166986d65ac48dca8983b2c599b92f9e034485a81c07edf8bd19705d0fa672cc

Aliases

arxiv: 1511.08853 · arxiv_version: 1511.08853v1 · doi: 10.48550/arxiv.1511.08853 · pith_short_12: CZUYNVS2YSG4 · pith_short_16: CZUYNVS2YSG4VCMD · pith_short_8: CZUYNVS2

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/CZUYNVS2YSG4VCMDWLCZTOJPTY \
  | 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: 166986d65ac48dca8983b2c599b92f9e034485a81c07edf8bd19705d0fa672cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56e415fd45f530a5fc6406f22ad7b967a8fd9e227b5b4552d2f8729e589c04ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-27T23:43:45Z",
    "title_canon_sha256": "27c9adf14240715c25f723ca7db03e421d4d8a5112ae16d4ebc01504e9318244"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08853",
    "kind": "arxiv",
    "version": 1
  }
}