Pith Number

pith:GHCEPP6I

pith:2021:GHCEPP6IZ2DJXL4UWMSFO7DRIA

not attested not anchored not stored refs pending

Research on Hopf Bifurcation and Stability of Heterogeneous Lorenz System with Single Time Delay

Dechang Pi, Erxi Zhu, Min Xu

arxiv:2103.14591 v1 · 2021-03-23 · math.DS · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHCEPP6IZ2DJXL4UWMSFO7DRIA}

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	2026-07-05T02:26:42.672223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31c447bfc8ce869baf94b324577c71402e8b75b59d18e362615216eeca14f6f7

Aliases

arxiv: 2103.14591 · arxiv_version: 2103.14591v1 · doi: 10.48550/arxiv.2103.14591 · pith_short_12: GHCEPP6IZ2DJ · pith_short_16: GHCEPP6IZ2DJXL4U · pith_short_8: GHCEPP6I

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/GHCEPP6IZ2DJXL4UWMSFO7DRIA \
  | 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: 31c447bfc8ce869baf94b324577c71402e8b75b59d18e362615216eeca14f6f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e7576f79ef0565fd676b2958ded7c1c4371450944f49cf768e81db184ebe166",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2021-03-23T04:36:24Z",
    "title_canon_sha256": "f77b99c70c1a8539202dd07df071fd36b4d4c438aa2ed7c2cdc5d24b16e9e447"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.14591",
    "kind": "arxiv",
    "version": 1
  }
}