Pith Number

pith:FP3HQQPT

pith:2012:FP3HQQPTAIE53A4J7AWDBBKOAY

not attested not anchored not stored refs pending

Cycles of links and fixed points for orientation preserving homeomorphisms of the open unit disk

Juliana Xavier

arxiv:1208.2268 v1 · 2012-08-10 · 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{FP3HQQPTAIE53A4J7AWDBBKOAY}

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	2026-05-18T03:48:58.338390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bf67841f30209dd8389f82c30854e063a243743f6e2bc8d630ea5e44a3144c7

Aliases

arxiv: 1208.2268 · arxiv_version: 1208.2268v1 · doi: 10.48550/arxiv.1208.2268 · pith_short_12: FP3HQQPTAIE5 · pith_short_16: FP3HQQPTAIE53A4J · pith_short_8: FP3HQQPT

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/FP3HQQPTAIE53A4J7AWDBBKOAY \
  | 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: 2bf67841f30209dd8389f82c30854e063a243743f6e2bc8d630ea5e44a3144c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72a0c3e9490eff215576437e49cb57e0f231bbb8cea4f5cedd9ce9a5910fdf5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-08-10T17:10:28Z",
    "title_canon_sha256": "52b654375722bb483cba6f5939920b4f28e64d363d345afce16f8d4fe48b1126"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2268",
    "kind": "arxiv",
    "version": 1
  }
}