Pith Number

pith:RVPNF6PR

pith:2012:RVPNF6PRULYF3OAZMFFX6SYFRW

not attested not anchored not stored refs pending

Longtime behavior of nonlocal Cahn-Hilliard equations

Ciprian G. Gal, Maurizio Grasselli

arxiv:1207.4018 v2 · 2012-07-17 · math.AP · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RVPNF6PRULYF3OAZMFFX6SYFRW}

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	2026-05-18T03:26:32.456898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d5ed2f9f1a2f05db819614b7f4b058dba74337eefeb787ad3ef25142d842892

Aliases

arxiv: 1207.4018 · arxiv_version: 1207.4018v2 · doi: 10.48550/arxiv.1207.4018 · pith_short_12: RVPNF6PRULYF · pith_short_16: RVPNF6PRULYF3OAZ · pith_short_8: RVPNF6PR

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/RVPNF6PRULYF3OAZMFFX6SYFRW \
  | 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: 8d5ed2f9f1a2f05db819614b7f4b058dba74337eefeb787ad3ef25142d842892

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a03b6a8ccdac5172dc0cf90943ef607e1ced7ca328e21784376b0a4085b4e968",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-07-17T14:47:43Z",
    "title_canon_sha256": "26644806b2d5f0680c609c63684a4d6116aa3bb85d6d979373e9e39d53ef6604"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4018",
    "kind": "arxiv",
    "version": 2
  }
}