Pith Number

pith:CIWHFNLS

pith:2016:CIWHFNLSQMVALZ2SEH2XWSYUTU

not attested not anchored not stored refs pending

Generalized beta-transformations and the entropy of unimodal maps

Daniel J. Thompson

arxiv:1602.03518 v3 · 2016-02-10 · 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{CIWHFNLSQMVALZ2SEH2XWSYUTU}

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	2026-05-18T00:53:02.695821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

122c72b572832a05e75221f57b4b149d33a0d1abd74e1cfed91386b16f41c9d7

Aliases

arxiv: 1602.03518 · arxiv_version: 1602.03518v3 · doi: 10.48550/arxiv.1602.03518 · pith_short_12: CIWHFNLSQMVA · pith_short_16: CIWHFNLSQMVALZ2S · pith_short_8: CIWHFNLS

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/CIWHFNLSQMVALZ2SEH2XWSYUTU \
  | 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: 122c72b572832a05e75221f57b4b149d33a0d1abd74e1cfed91386b16f41c9d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f27db4d7eae048b9064fc39328956881dc36624d8f05a9a715c799ef27eea19d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-02-10T20:57:39Z",
    "title_canon_sha256": "14871c03853f1f79f3fbe974d88e9df50f331fdeb02b536520c0f7bbb02ae635"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03518",
    "kind": "arxiv",
    "version": 3
  }
}