Pith Number

pith:ODCRQ4K6

pith:2022:ODCRQ4K6GDSCPABJV23M5XG5FB

not attested not anchored not stored refs pending

Solutions with single radial interface of the generalized Cahn-Hilliard flow

Chao Liu, Jun Yang

arxiv:2209.14522 v1 · 2022-09-29 · 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{ODCRQ4K6GDSCPABJV23M5XG5FB}

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	2026-07-05T05:01:53.830831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70c518715e30e4278029aeb6cedcdd286cc8803475d4fa3311d49347e3d93411

Aliases

arxiv: 2209.14522 · arxiv_version: 2209.14522v1 · doi: 10.48550/arxiv.2209.14522 · pith_short_12: ODCRQ4K6GDSC · pith_short_16: ODCRQ4K6GDSCPABJ · pith_short_8: ODCRQ4K6

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/ODCRQ4K6GDSCPABJV23M5XG5FB \
  | 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: 70c518715e30e4278029aeb6cedcdd286cc8803475d4fa3311d49347e3d93411

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beccef539653a816f64f2208e73ce5a798fc81fd4ea7e30a6ad2abcc01ff2482",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-09-29T02:52:37Z",
    "title_canon_sha256": "737d403babddf6dcb3b3db20ad8ae866efe62043ffb7caa628b80b1426ebe90a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.14522",
    "kind": "arxiv",
    "version": 1
  }
}