Pith Number

pith:2IMHTSID

pith:2016:2IMHTSIDBPQVWIR4FUOFNHOH5E

not attested not anchored not stored refs pending

Controlling the statistical properties of expanding maps

Mark Pollicott, Stefano Galatolo

arxiv:1603.07762 v2 · 2016-03-24 · 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{2IMHTSIDBPQVWIR4FUOFNHOH5E}

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	2026-05-18T00:41:41.934301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d21879c9030be15b223c2d1c569dc7e9269bc2ada250d019867766ccaa65de84

Aliases

arxiv: 1603.07762 · arxiv_version: 1603.07762v2 · doi: 10.48550/arxiv.1603.07762 · pith_short_12: 2IMHTSIDBPQV · pith_short_16: 2IMHTSIDBPQVWIR4 · pith_short_8: 2IMHTSID

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/2IMHTSIDBPQVWIR4FUOFNHOH5E \
  | 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: d21879c9030be15b223c2d1c569dc7e9269bc2ada250d019867766ccaa65de84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98a4e98381433d18a9e31035ba691f27c784243b8c7d8ff7967f511587df5a8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-03-24T21:32:13Z",
    "title_canon_sha256": "7b5f6e243473ffd3ee5fff72b04d1e9185ed7737d060d4650c495441f627cd81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07762",
    "kind": "arxiv",
    "version": 2
  }
}