Pith Number

pith:Z2WYTOJ2

pith:2016:Z2WYTOJ2XDX6QJTKGQS7UQ7U2E

not attested not anchored not stored refs pending

Quantitative convergence analysis of iterated expansive, set-valued mappings

D. Russell Luke, Matthew K. Tam, Nguyen H. Thao

arxiv:1605.05725 v2 · 2016-05-18 · math.OC · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2WYTOJ2XDX6QJTKGQS7UQ7U2E}

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	2026-05-18T00:05:14.799186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cead89b93ab8efe8266a3425fa43f4d116a60ec411d9a7c7aa8c3d13aa5bae84

Aliases

arxiv: 1605.05725 · arxiv_version: 1605.05725v2 · doi: 10.48550/arxiv.1605.05725 · pith_short_12: Z2WYTOJ2XDX6 · pith_short_16: Z2WYTOJ2XDX6QJTK · pith_short_8: Z2WYTOJ2

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/Z2WYTOJ2XDX6QJTKGQS7UQ7U2E \
  | 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: cead89b93ab8efe8266a3425fa43f4d116a60ec411d9a7c7aa8c3d13aa5bae84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b53bf43ecdf90fae52c9ff8b0d086c845a95914f73ef26dcd6dda13063701e0",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-05-18T08:02:54Z",
    "title_canon_sha256": "9dc3e780af73e67829f55326ba4ad81718687968a6910622b997c5d6db6e937c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05725",
    "kind": "arxiv",
    "version": 2
  }
}