Pith Number

pith:YCUC7ROE

pith:2015:YCUC7ROEGWMWG2UFIYUZ3RFPRK

not attested not anchored not stored refs pending

Model reduction of non-densely defined piecewise-smooth systems in Banach spaces

Robert Szalai

arxiv:1509.08040 v6 · 2015-09-27 · 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{YCUC7ROEGWMWG2UFIYUZ3RFPRK}

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	2026-05-18T00:03:20.132746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0a82fc5c43599636a8546299dc4af8aaeb899fa2f829b7e00c19cbd2558173e

Aliases

arxiv: 1509.08040 · arxiv_version: 1509.08040v6 · doi: 10.48550/arxiv.1509.08040 · pith_short_12: YCUC7ROEGWMW · pith_short_16: YCUC7ROEGWMWG2UF · pith_short_8: YCUC7ROE

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/YCUC7ROEGWMWG2UFIYUZ3RFPRK \
  | 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: c0a82fc5c43599636a8546299dc4af8aaeb899fa2f829b7e00c19cbd2558173e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc0d248bb01c1c31ad814fba5e0cc4075e16195e27bfc6eec0d416548fa9b0f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-09-27T01:51:45Z",
    "title_canon_sha256": "5aa3b1f185dc5329377ebb1845bb334730b7176805b18dda70d9ea089c99976c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08040",
    "kind": "arxiv",
    "version": 6
  }
}