Pith Number

pith:3VJSPMSD

pith:2017:3VJSPMSDWNPQ2ZVYSJYB4WY7ZR

not attested not anchored not stored refs pending

Natural extensions and Gauss measures for piecewise homographic continued fractions

Pierre Arnoux, Thomas A. Schmidt

arxiv:1709.05580 v1 · 2017-09-16 · 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{3VJSPMSDWNPQ2ZVYSJYB4WY7ZR}

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	2026-05-18T00:35:00.249599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd5327b243b35f0d66b892701e5b1fcc76a423499d6f987fcb20f07f3a8b8139

Aliases

arxiv: 1709.05580 · arxiv_version: 1709.05580v1 · doi: 10.48550/arxiv.1709.05580 · pith_short_12: 3VJSPMSDWNPQ · pith_short_16: 3VJSPMSDWNPQ2ZVY · pith_short_8: 3VJSPMSD

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/3VJSPMSDWNPQ2ZVYSJYB4WY7ZR \
  | 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: dd5327b243b35f0d66b892701e5b1fcc76a423499d6f987fcb20f07f3a8b8139

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d46abb72ebd75679f80b81ea4d528fdf139c1292b3e7b8834a0b207d6dde22d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-09-16T23:03:25Z",
    "title_canon_sha256": "3dbc8155594829fbfc8b85167b971b4587eca2f924bdf8ddba739d9e5c578746"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05580",
    "kind": "arxiv",
    "version": 1
  }
}