Pith Number

pith:SMWM6JBS

pith:2011:SMWM6JBS27O25262ERYWAXPLKJ

not attested not anchored not stored refs pending

Instability of Isolated Spectrum for W-shaped Maps

Pawe{\l} G\'ora, Zhenyang Li

arxiv:1110.3528 v1 · 2011-10-16 · 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{SMWM6JBS27O25262ERYWAXPLKJ}

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	2026-05-18T03:10:14.668968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

932ccf2432d7ddaeebda2471605deb5275922a721b9e5c9c4ea2e480a55fdc80

Aliases

arxiv: 1110.3528 · arxiv_version: 1110.3528v1 · doi: 10.48550/arxiv.1110.3528 · pith_short_12: SMWM6JBS27O2 · pith_short_16: SMWM6JBS27O25262 · pith_short_8: SMWM6JBS

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/SMWM6JBS27O25262ERYWAXPLKJ \
  | 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: 932ccf2432d7ddaeebda2471605deb5275922a721b9e5c9c4ea2e480a55fdc80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be3424f9e5b47b01aa64d827617c1f2eee714160c1566688df9055c3d3407970",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-10-16T21:44:29Z",
    "title_canon_sha256": "0f70a9e76c191c6318d671193808f3bbda1013c91dd4f38623c56dcf3401602a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3528",
    "kind": "arxiv",
    "version": 1
  }
}