Pith Number

pith:QOU52GOP

pith:2014:QOU52GOPXJKNMPPI5ISVUYMXKW

not attested not anchored not stored refs pending

On the number of parameters $c$ for which the point $x=0$ is a superstable periodic point of $f_c(x) = 1 - cx^2$

Bau-Sen Du

arxiv:1405.7167 v1 · 2014-05-28 · 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{QOU52GOPXJKNMPPI5ISVUYMXKW}

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	2026-05-18T02:50:59.039902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83a9dd19cfba54d63de8ea255a619755843e6f7e66ed3b1a8897e39602c77eaa

Aliases

arxiv: 1405.7167 · arxiv_version: 1405.7167v1 · doi: 10.48550/arxiv.1405.7167 · pith_short_12: QOU52GOPXJKN · pith_short_16: QOU52GOPXJKNMPPI · pith_short_8: QOU52GOP

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/QOU52GOPXJKNMPPI5ISVUYMXKW \
  | 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: 83a9dd19cfba54d63de8ea255a619755843e6f7e66ed3b1a8897e39602c77eaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1a174cf17d1bd66d065893f22303ca70491fa3cfae6e53a26db88c258a92715",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-05-28T09:10:57Z",
    "title_canon_sha256": "351b1247c3e39e2b1bc68a2689706307ec71e3f3dd39da511c30b228fcf36b18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.7167",
    "kind": "arxiv",
    "version": 1
  }
}