Pith Number

pith:E2W6TJDQ

pith:2014:E2W6TJDQXDUO7SE6BWHJ4MUUII

not attested not anchored not stored refs pending

Growth of heights in piecewise-affine planar maps

Franco Vivaldi, John A. G. Roberts

arxiv:1408.4264 v1 · 2014-08-19 · 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{E2W6TJDQXDUO7SE6BWHJ4MUUII}

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	2026-05-18T01:42:17.552297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26ade9a470b8e8efc89e0d8e9e3294421864778930e2f9f4ebb5e74b1237ee05

Aliases

arxiv: 1408.4264 · arxiv_version: 1408.4264v1 · doi: 10.48550/arxiv.1408.4264 · pith_short_12: E2W6TJDQXDUO · pith_short_16: E2W6TJDQXDUO7SE6 · pith_short_8: E2W6TJDQ

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/E2W6TJDQXDUO7SE6BWHJ4MUUII \
  | 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: 26ade9a470b8e8efc89e0d8e9e3294421864778930e2f9f4ebb5e74b1237ee05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc91ec4dd573ac53b699b7be3d8e80c8c2ca6f19d1f84a34af49075800ef2fa4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-08-19T09:37:28Z",
    "title_canon_sha256": "d187f9e4f829339d859642e3c13e291360dc24b56e1569691bdaccaf66b64729"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4264",
    "kind": "arxiv",
    "version": 1
  }
}