Pith Number

pith:JBBG56LL

pith:2018:JBBG56LLTER73FSBHHFRDDPMTY

not attested not anchored not stored refs pending

An explicit Lyapunov function for reflection symmetric parabolic partial differential equations on the circle

Bernold Fiedler, Carlos Rocha, Clodoaldo Grotta-Ragazzo

arxiv:1802.09763 v1 · 2018-02-27 · 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{JBBG56LLTER73FSBHHFRDDPMTY}

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	2026-05-18T00:22:22.301136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48426ef96b9923fd964139cb118dec9e26689af317d2440e6b872976ca2221a6

Aliases

arxiv: 1802.09763 · arxiv_version: 1802.09763v1 · doi: 10.48550/arxiv.1802.09763 · pith_short_12: JBBG56LLTER7 · pith_short_16: JBBG56LLTER73FSB · pith_short_8: JBBG56LL

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/JBBG56LLTER73FSBHHFRDDPMTY \
  | 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: 48426ef96b9923fd964139cb118dec9e26689af317d2440e6b872976ca2221a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39fbdea0293fda6c1d02ea4af8792fa4a6b2143eb68bf8869992fa67f0e76f6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-02-27T08:07:15Z",
    "title_canon_sha256": "fd66b4a813dd6f53044c0763189e3fbfd7c667574e0263367b198a6b093e7282"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09763",
    "kind": "arxiv",
    "version": 1
  }
}