Pith Number

pith:SZNAODGC

pith:2026:SZNAODGC4HNLYCNJS24TGQ3LRU

not attested not anchored not stored refs pending

Homogenization of Time-Discrete Gradient Flows

Li Wang, Yuan Gao, Yunhong Deng

arxiv:2607.25206 v1 · 2026-07-28 · math.AP · cs.NA · math-ph · math.MP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SZNAODGC4HNLYCNJS24TGQ3LRU}

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	2026-07-29T00:25:08.391230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

965a070cc2e1dabc09a996b933436b8d36fb7d2af3d42d1d09533af93cb83844

Aliases

arxiv: 2607.25206 · arxiv_version: 2607.25206v1 · doi: 10.48550/arxiv.2607.25206 · pith_short_12: SZNAODGC4HNL · pith_short_16: SZNAODGC4HNLYCNJ · pith_short_8: SZNAODGC

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/SZNAODGC4HNLYCNJS24TGQ3LRU \
  | 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: 965a070cc2e1dabc09a996b933436b8d36fb7d2af3d42d1d09533af93cb83844

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc638fec27f8581aec5737c89046b0e56be5a18bf1ed81a2565b7b9af20b36fa",
    "cross_cats_sorted": [
      "cs.NA",
      "math-ph",
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-28T02:22:42Z",
    "title_canon_sha256": "19cc5080019e24bdb9b270bd796307e8b7a082677ba2f2ea86db49bec00b6a0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25206",
    "kind": "arxiv",
    "version": 1
  }
}