Pith Number

pith:XTU5K6TV

pith:2019:XTU5K6TVSPTCV2GIC7N4JQQ23W

not attested not anchored not stored refs pending

Energy stable schemes for gradient flows based on novel auxiliary variable with energy bounded above

Zhengguang Liu

arxiv:1907.04142 v2 · 2019-07-01 · 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{XTU5K6TVSPTCV2GIC7N4JQQ23W}

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	2026-05-17T23:41:00.351055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bce9d57a7593e62ae8c817dbc4c21addba218b38b45929fe88c8b61cbfa5067a

Aliases

arxiv: 1907.04142 · arxiv_version: 1907.04142v2 · doi: 10.48550/arxiv.1907.04142 · pith_short_12: XTU5K6TVSPTC · pith_short_16: XTU5K6TVSPTCV2GI · pith_short_8: XTU5K6TV

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/XTU5K6TVSPTCV2GIC7N4JQQ23W \
  | 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: bce9d57a7593e62ae8c817dbc4c21addba218b38b45929fe88c8b61cbfa5067a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da2cf0d07e52c24764a09d0d61e815b30c706282cf460149a7322ae8dce7a7c3",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-07-01T09:52:02Z",
    "title_canon_sha256": "7c9332f215e4288916cb4209db146faf119eabc59f108db827faa0eee63f2060"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.04142",
    "kind": "arxiv",
    "version": 2
  }
}