Pith Number

pith:6OBHIM3Q

pith:2011:6OBHIM3QKB3CV3T5MWISZ752F7

not attested not anchored not stored refs pending

Multifractal analysis for expanding interval maps with infinitely many branches

Ai-Hua Fan (LAMFA), Lingmin Liao (LAMA), Michal Rams (PAN), Thomas Jordan

arxiv:1110.2856 v2 · 2011-10-13 · 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{6OBHIM3QKB3CV3T5MWISZ752F7}

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	2026-05-18T03:34:16.424061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f38274337050762aee7d65912cffba2fd9fcc3df0975a09cb6bf0aabc33f640d

Aliases

arxiv: 1110.2856 · arxiv_version: 1110.2856v2 · doi: 10.48550/arxiv.1110.2856 · pith_short_12: 6OBHIM3QKB3C · pith_short_16: 6OBHIM3QKB3CV3T5 · pith_short_8: 6OBHIM3Q

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/6OBHIM3QKB3CV3T5MWISZ752F7 \
  | 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: f38274337050762aee7d65912cffba2fd9fcc3df0975a09cb6bf0aabc33f640d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0d65801cc81d8b4a06f39d17fee3a4be8db798112b8d2c8fbb956293e80deeb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-10-13T07:36:49Z",
    "title_canon_sha256": "2adac959dd6f972a32055068ec1a578fad59fcebdd40bf068484106923ca4eb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2856",
    "kind": "arxiv",
    "version": 2
  }
}