Pith Number

pith:UP3NA4NT

pith:2015:UP3NA4NTYWRXU7HCEVBUYZLDOI

not attested not anchored not stored refs pending

Real bounds and quasisymmetric rigidity of multicritical circle maps

Edson de Faria, Gabriela Estevez

arxiv:1511.09056 v1 · 2015-11-29 · 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{UP3NA4NTYWRXU7HCEVBUYZLDOI}

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	2026-05-18T01:25:41.345938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3f6d071b3c5a37a7ce225434c656372324cdbecf2efca870d90cb84698ccb66

Aliases

arxiv: 1511.09056 · arxiv_version: 1511.09056v1 · doi: 10.48550/arxiv.1511.09056 · pith_short_12: UP3NA4NTYWRX · pith_short_16: UP3NA4NTYWRXU7HC · pith_short_8: UP3NA4NT

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/UP3NA4NTYWRXU7HCEVBUYZLDOI \
  | 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: a3f6d071b3c5a37a7ce225434c656372324cdbecf2efca870d90cb84698ccb66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96eeb531abc3ab6f08ffd8f0caa36f2d9cbeb1d1463a869d19c717d0ee74c76d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-11-29T18:34:10Z",
    "title_canon_sha256": "227985b504d4fd77edbec5bb175046179d28d544292aaef76e404e7e39df0525"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09056",
    "kind": "arxiv",
    "version": 1
  }
}