Pith Number

pith:NZTAWZI5

pith:2013:NZTAWZI54XNXB3PIWBX25HEXHW

not attested not anchored not stored refs pending

Countable Contraction Maps in Metric Spaces: Invariant Sets and Measures

Maria Fernanda Barrozo, Ursula Molter

arxiv:1307.1090 v1 · 2013-07-03 · 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{NZTAWZI54XNXB3PIWBX25HEXHW}

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	2026-05-18T03:19:22.898700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e660b651de5db70ede8b06fae9c973d8457c89385bb16d3b86edcb87347b876

Aliases

arxiv: 1307.1090 · arxiv_version: 1307.1090v1 · doi: 10.48550/arxiv.1307.1090 · pith_short_12: NZTAWZI54XNX · pith_short_16: NZTAWZI54XNXB3PI · pith_short_8: NZTAWZI5

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/NZTAWZI54XNXB3PIWBX25HEXHW \
  | 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: 6e660b651de5db70ede8b06fae9c973d8457c89385bb16d3b86edcb87347b876

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eab312655baed3fb0fae3e550bb6b400fbaae70a3a17b31478bdacf4117b4144",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-07-03T17:46:13Z",
    "title_canon_sha256": "9363c62fd55035e8d29b790505d4cfa4146cede4b83b2602aed62725567b9d32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1090",
    "kind": "arxiv",
    "version": 1
  }
}