Pith Number

pith:Z572MG3C

pith:2011:Z572MG3CH2P5KH6FNNBC4M46IJ

not attested not anchored not stored refs pending

An applied mathematical excursion through Lyapunov inequalities, classical analysis and differential equations

Antonio Canada, Salvador Villegas

arxiv:1110.0921 v1 · 2011-10-05 · 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{Z572MG3CH2P5KH6FNNBC4M46IJ}

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	2026-05-18T04:11:40.176984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf7fa61b623e9fd51fc56b422e339e42715d02a06f1d6a60cb41f0cee309caa3

Aliases

arxiv: 1110.0921 · arxiv_version: 1110.0921v1 · doi: 10.48550/arxiv.1110.0921 · pith_short_12: Z572MG3CH2P5 · pith_short_16: Z572MG3CH2P5KH6F · pith_short_8: Z572MG3C

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/Z572MG3CH2P5KH6FNNBC4M46IJ \
  | 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: cf7fa61b623e9fd51fc56b422e339e42715d02a06f1d6a60cb41f0cee309caa3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e70dfac152dc84a2c2098a58550064c99b77a35b3f1b8741d5029e268c73082b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-10-05T08:35:52Z",
    "title_canon_sha256": "055fb8b90163e45eb4a4e21089f0737e08735dc13a1d3565381a3be9163457a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0921",
    "kind": "arxiv",
    "version": 1
  }
}