Pith Number

pith:UGMWT5KX

pith:2019:UGMWT5KXLDRO37UNGW4HVJINPZ

not attested not anchored not stored refs pending

Stability and Error estimates of the SAV Fourier-spectral method for the Phase Field Crystal Equation

Jie Shen, Xiaoli Li

arxiv:1907.07462 v1 · 2019-07-17 · 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{UGMWT5KXLDRO37UNGW4HVJINPZ}

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	2026-05-17T23:40:22.163775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a19969f55758e2edfe8d35b87aa50d7e6ddeca9d02cc46a2387241cea4e812c7

Aliases

arxiv: 1907.07462 · arxiv_version: 1907.07462v1 · doi: 10.48550/arxiv.1907.07462 · pith_short_12: UGMWT5KXLDRO · pith_short_16: UGMWT5KXLDRO37UN · pith_short_8: UGMWT5KX

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/UGMWT5KXLDRO37UNGW4HVJINPZ \
  | 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: a19969f55758e2edfe8d35b87aa50d7e6ddeca9d02cc46a2387241cea4e812c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7e60ce74127c974bbe87b2c4873c08870a5ec2ac861e064d1a6fd006ce5a30b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-17T12:01:35Z",
    "title_canon_sha256": "3331d9ef7054a0fc6c48fcd05ca0eafcce2c0d53885718445a3a16d947d177df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07462",
    "kind": "arxiv",
    "version": 1
  }
}