Pith Number

pith:GJZBSTPW

pith:2013:GJZBSTPWE6FCPTVEPL2PXS4E47

not attested not anchored not stored refs pending

Rate of Convergence of Phase Field Equations in Strongly Heterogeneous Media towards their Homogenized Limit

Grigorios A. Pavliotis, Markus Schmuck, Serafim Kalliadasis

arxiv:1310.1499 v1 · 2013-10-05 · physics.chem-ph · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJZBSTPWE6FCPTVEPL2PXS4E47}

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	2026-05-18T03:11:11.782228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3272194df6278a27cea47af4fbcb84e7c14fe60a3ce2ff2d1c14fb09d562fa69

Aliases

arxiv: 1310.1499 · arxiv_version: 1310.1499v1 · doi: 10.48550/arxiv.1310.1499 · pith_short_12: GJZBSTPWE6FC · pith_short_16: GJZBSTPWE6FCPTVE · pith_short_8: GJZBSTPW

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/GJZBSTPWE6FCPTVEPL2PXS4E47 \
  | 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: 3272194df6278a27cea47af4fbcb84e7c14fe60a3ce2ff2d1c14fb09d562fa69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c53512fd3ce1af276c3ac41c4ef3736b60a84ffe8d6ce74da4d28be5924fbb42",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2013-10-05T17:42:21Z",
    "title_canon_sha256": "f6f017d6594e0b0d01638bd0fd512a5a6f9affffb782e41b4e6a8efe386be875"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1499",
    "kind": "arxiv",
    "version": 1
  }
}