Pith Number

pith:X3PDWDIV

pith:2011:X3PDWDIVVAZRLWIPTI6J73F2AS

not attested not anchored not stored refs pending

A note on the dependence on parameters for a nonlinear system via monotonicity theory

Marek Galewski

arxiv:1103.4098 v1 · 2011-03-21 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X3PDWDIVVAZRLWIPTI6J73F2AS}

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	2026-05-18T03:39:05.478663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bede3b0d15a83315d90f9a3c9fecba04b047c752535e6520d68e7be646549d8a

Aliases

arxiv: 1103.4098 · arxiv_version: 1103.4098v1 · doi: 10.48550/arxiv.1103.4098 · pith_short_12: X3PDWDIVVAZR · pith_short_16: X3PDWDIVVAZRLWIP · pith_short_8: X3PDWDIV

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/X3PDWDIVVAZRLWIPTI6J73F2AS \
  | 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: bede3b0d15a83315d90f9a3c9fecba04b047c752535e6520d68e7be646549d8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "502012f49c9d2a255a7a3d9cb329f9b1d633cd377d537a5b092ef0a7bed1b330",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-03-21T18:04:04Z",
    "title_canon_sha256": "c0ed356f47174e374e25f4165eb27aa0e9004423692e7484b2b05df8db92ac45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4098",
    "kind": "arxiv",
    "version": 1
  }
}