Pith Number

pith:VXZLSLKZ

pith:2016:VXZLSLKZJ7RUIG7OG34ZVQITWO

not attested not anchored not stored refs pending

Dilated Floor Functions That Commute

D. Harry Richman, Jeffrey C. Lagarias, Takumi Murayama

arxiv:1611.05513 v1 · 2016-11-17 · math.NT · cs.CG · 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{VXZLSLKZJ7RUIG7OG34ZVQITWO}

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	2026-05-18T00:53:06.738411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adf2b92d594fe3441bee36f99ac113b3a1f3c592601efe21e1ab6eb8025ad154

Aliases

arxiv: 1611.05513 · arxiv_version: 1611.05513v1 · doi: 10.48550/arxiv.1611.05513 · pith_short_12: VXZLSLKZJ7RU · pith_short_16: VXZLSLKZJ7RUIG7O · pith_short_8: VXZLSLKZ

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/VXZLSLKZJ7RUIG7OG34ZVQITWO \
  | 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: adf2b92d594fe3441bee36f99ac113b3a1f3c592601efe21e1ab6eb8025ad154

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e036558e2fb00c2a006b8234b44d3702fb4a5a035c13ec0b4ff8850dec2d1c0",
    "cross_cats_sorted": [
      "cs.CG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-11-17T00:16:08Z",
    "title_canon_sha256": "44f2272c5257806bd7ec7524e3efee8e65d29e911820f11826228144aac5f2bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05513",
    "kind": "arxiv",
    "version": 1
  }
}