Pith Number

pith:7QUEQOBW

pith:2013:7QUEQOBWHZ24CUNWJ3LCEMGBDC

not attested not anchored not stored refs pending

Lyapunov Functions in Piecewise Linear Systems: From Fixed Point to Limit Cycle

Bo Yuan, Ping Ao, Ruoshi Yuan, Yang Li, Yian Ma

arxiv:1306.6880 v1 · 2013-06-28 · 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{7QUEQOBWHZ24CUNWJ3LCEMGBDC}

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	2026-05-18T03:19:42.659817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc284838363e75c151b64ed62230c1188070b040dbab58308b0b42b2ae7e79bd

Aliases

arxiv: 1306.6880 · arxiv_version: 1306.6880v1 · doi: 10.48550/arxiv.1306.6880 · pith_short_12: 7QUEQOBWHZ24 · pith_short_16: 7QUEQOBWHZ24CUNW · pith_short_8: 7QUEQOBW

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/7QUEQOBWHZ24CUNWJ3LCEMGBDC \
  | 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: fc284838363e75c151b64ed62230c1188070b040dbab58308b0b42b2ae7e79bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e01afbe01b48218908a765990ee6b8238452fc5053068b0dd2650963bf6fda2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2013-06-28T15:40:00Z",
    "title_canon_sha256": "fee55521473c94045c617ac862fe7de8e6f601f00028a491b963ef2e37523ae9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6880",
    "kind": "arxiv",
    "version": 1
  }
}