Pith Number

pith:HPTJZGXL

pith:2020:HPTJZGXLSNFGVCVEYZWD2JKS2Y

not attested not anchored not stored refs pending

Stability Analysis of Short Memory Fractional Differential Equations

Conghui Xu, Guojian Ren, Lipo Mo, Xudong Hai, Yongguang Yu

arxiv:2007.05755 v1 · 2020-07-11 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HPTJZGXLSNFGVCVEYZWD2JKS2Y}

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	2026-07-05T01:18:06.516878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3be69c9aeb934a6a8aa4c66c3d2552d62015ff067f78ef3da2c424107ed4fecd

Aliases

arxiv: 2007.05755 · arxiv_version: 2007.05755v1 · doi: 10.48550/arxiv.2007.05755 · pith_short_12: HPTJZGXLSNFG · pith_short_16: HPTJZGXLSNFGVCVE · pith_short_8: HPTJZGXL

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/HPTJZGXLSNFGVCVEYZWD2JKS2Y \
  | 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: 3be69c9aeb934a6a8aa4c66c3d2552d62015ff067f78ef3da2c424107ed4fecd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56e8bd8de5465282a138e8afa44687b08e453b5e42d32d6fc54a93d661017a2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2020-07-11T12:00:31Z",
    "title_canon_sha256": "2f3bdda6c48e001cefb14476303640086f4bde7b33d3a70b67bce81009fdde95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.05755",
    "kind": "arxiv",
    "version": 1
  }
}