Pith Number

pith:RME2O2FI

pith:2013:RME2O2FIT7E6NC6LDOQKEXVZOC

not attested not anchored not stored refs pending

Robust exponential attractors for the modified phase-field crystal equation

Hao Wu, Maurizio Grasselli

arxiv:1312.2834 v1 · 2013-12-10 · 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{RME2O2FIT7E6NC6LDOQKEXVZOC}

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	2026-05-18T03:05:08.306402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b09a768a89fc9e68bcb1ba0a25eb970bb5f9493911de3dfb8a567f519583456

Aliases

arxiv: 1312.2834 · arxiv_version: 1312.2834v1 · doi: 10.48550/arxiv.1312.2834 · pith_short_12: RME2O2FIT7E6 · pith_short_16: RME2O2FIT7E6NC6L · pith_short_8: RME2O2FI

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/RME2O2FIT7E6NC6LDOQKEXVZOC \
  | 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: 8b09a768a89fc9e68bcb1ba0a25eb970bb5f9493911de3dfb8a567f519583456

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ae626757524dbee2224fecc11c6078993027840e932e8cd3a33e475ce429a6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-10T15:33:43Z",
    "title_canon_sha256": "51072a30523614ee3599696ce75f750aff5439321dc8b9313ee9880fbda6fda4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2834",
    "kind": "arxiv",
    "version": 1
  }
}