Pith Number

pith:ERYX5UE4

pith:2011:ERYX5UE4NA65QMOD5X6JW4SE4S

not attested not anchored not stored refs pending

Multifractal formalism for Benedicks-Carleson quadratic maps

Hiroki Takahasi, Yong Moo Chung

arxiv:1112.1827 v2 · 2011-12-08 · 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{ERYX5UE4NA65QMOD5X6JW4SE4S}

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	2026-05-17T23:53:36.390287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24717ed09c683dd831c3edfc9b7244e48486ed9f0f149fcd02f11d0ffffb6f87

Aliases

arxiv: 1112.1827 · arxiv_version: 1112.1827v2 · doi: 10.48550/arxiv.1112.1827 · pith_short_12: ERYX5UE4NA65 · pith_short_16: ERYX5UE4NA65QMOD · pith_short_8: ERYX5UE4

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/ERYX5UE4NA65QMOD5X6JW4SE4S \
  | 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: 24717ed09c683dd831c3edfc9b7244e48486ed9f0f149fcd02f11d0ffffb6f87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db2c6e032706b30d91925c45029d7f0db7b7284e11506aae40db418dd6a28ab1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-12-08T13:13:01Z",
    "title_canon_sha256": "0b29c21aa38a94c4e62c14e1f13fe2c15686e2434214c8bc31280fb723d4fc64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1827",
    "kind": "arxiv",
    "version": 2
  }
}