Pith Number

pith:GI7X5H5Y

pith:2012:GI7X5H5YZQK57NLQ3H3AIVJWTQ

not attested not anchored not stored refs pending

An Alternative Approach to Generalised BV and the Application to Expanding Interval Maps

Oliver Butterley

arxiv:1206.1136 v1 · 2012-06-06 · 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{GI7X5H5YZQK57NLQ3H3AIVJWTQ}

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	2026-05-18T02:56:04.080459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

323f7e9fb8cc15dfb570d9f60455369c331f2c78894f9e3f9cd632070f20de93

Aliases

arxiv: 1206.1136 · arxiv_version: 1206.1136v1 · doi: 10.48550/arxiv.1206.1136 · pith_short_12: GI7X5H5YZQK5 · pith_short_16: GI7X5H5YZQK57NLQ · pith_short_8: GI7X5H5Y

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/GI7X5H5YZQK57NLQ3H3AIVJWTQ \
  | 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: 323f7e9fb8cc15dfb570d9f60455369c331f2c78894f9e3f9cd632070f20de93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "348e3fb408ba1e451add7917ca08e0c9ff85e0de1445f2de15c61445a4c1c7c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-06-06T07:29:23Z",
    "title_canon_sha256": "82e54bc87b4c8d43487994c6095e830573a2ff320f8e7e2cb2c011d66b6417de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1136",
    "kind": "arxiv",
    "version": 1
  }
}