Pith Number

pith:5O5QZKKY

pith:2011:5O5QZKKY2IPIKL7ISG3GAWNRE7

not attested not anchored not stored refs pending

Multiplicity of fixed points and growth of epsilon-neighbourhoods of orbits

Maja Resman, Pavao Mardesic, Vesna Zupanovic

arxiv:1108.4707 v3 · 2011-08-23 · 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{5O5QZKKY2IPIKL7ISG3GAWNRE7}

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	2026-05-18T03:51:14.391427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebbb0ca958d21e852fe891b66059b127e662722f04fe788e4f82cdfbbbd5821e

Aliases

arxiv: 1108.4707 · arxiv_version: 1108.4707v3 · doi: 10.48550/arxiv.1108.4707 · pith_short_12: 5O5QZKKY2IPI · pith_short_16: 5O5QZKKY2IPIKL7I · pith_short_8: 5O5QZKKY

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/5O5QZKKY2IPIKL7ISG3GAWNRE7 \
  | 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: ebbb0ca958d21e852fe891b66059b127e662722f04fe788e4f82cdfbbbd5821e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d80bb186e19f5b450a52506e3183a561ae312e2d14fc8315b484a65fb29a22e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-08-23T21:40:18Z",
    "title_canon_sha256": "69433f1d127a9639785f6ef5213cea01542305a2f0e0882f8f2dca848fbded89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4707",
    "kind": "arxiv",
    "version": 3
  }
}