Pith Number

pith:4RFSARIA

pith:2021:4RFSARIAF5STKUF7HTL4BTV7QC

not attested not anchored not stored refs pending

Stability of the semi-implicit method for the Cahn-Hilliard equation with logarithmic potentials

Dong Li, Tao Tang

arxiv:2106.09903 v1 · 2021-06-18 · math.NA · cs.NA · 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{4RFSARIAF5STKUF7HTL4BTV7QC}

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	2026-07-05T02:50:31.850309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e44b2045002f653550bf3cd7c0cebf80b5fdd90b9eaa039550256d3aa85afaea

Aliases

arxiv: 2106.09903 · arxiv_version: 2106.09903v1 · doi: 10.48550/arxiv.2106.09903 · pith_short_12: 4RFSARIAF5ST · pith_short_16: 4RFSARIAF5STKUF7 · pith_short_8: 4RFSARIA

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/4RFSARIAF5STKUF7HTL4BTV7QC \
  | 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: e44b2045002f653550bf3cd7c0cebf80b5fdd90b9eaa039550256d3aa85afaea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03b6791206d1c91dfd750d22f370e121b63166e8b73d6a3c2331a973b9cdc1ec",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-06-18T03:54:53Z",
    "title_canon_sha256": "d4f6196526ded792efd1c060b9344a44b1b220473c44204c8c9e69f724d5be7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.09903",
    "kind": "arxiv",
    "version": 1
  }
}