Pith Number

pith:I66OO4U6

pith:2011:I66OO4U6FG5NM6B62P67REKAUK

not attested not anchored not stored refs pending

Nonuniformly expanding 1d maps with logarithmic singularities

Hiroki Takahasi, Qiudong Wang

arxiv:1106.1707 v1 · 2011-06-09 · 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{I66OO4U6FG5NM6B62P67REKAUK}

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	2026-05-18T02:01:40.556976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47bce7729e29bad6783ed3fdf89140a2b905623630cb6b9ced730e4e52dcd2a6

Aliases

arxiv: 1106.1707 · arxiv_version: 1106.1707v1 · doi: 10.48550/arxiv.1106.1707 · pith_short_12: I66OO4U6FG5N · pith_short_16: I66OO4U6FG5NM6B6 · pith_short_8: I66OO4U6

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/I66OO4U6FG5NM6B62P67REKAUK \
  | 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: 47bce7729e29bad6783ed3fdf89140a2b905623630cb6b9ced730e4e52dcd2a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f4fb9a68584b165469bf33ba92390e65c098e7d04e849924b8901ac13810365",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-06-09T05:55:08Z",
    "title_canon_sha256": "b4859f3ab57591869aecf817ab82f0acc683322d07711416a9803fbb7ac64c7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1707",
    "kind": "arxiv",
    "version": 1
  }
}