Pith Number

pith:C63VCIYM

pith:2017:C63VCIYMR3GDYSCNA3GN47P5PW

not attested not anchored not stored refs pending

Quantitative multiple recurrence for two and three transformations

Sebasti\'an Donoso, Wenbo Sun

arxiv:1701.08139 v1 · 2017-01-27 · math.DS · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C63VCIYMR3GDYSCNA3GN47P5PW}

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	2026-05-18T00:51:58.745655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17b751230c8ecc3c484d06ccde7dfd7d954611d9f2155d8ca8d33e1d281d22c1

Aliases

arxiv: 1701.08139 · arxiv_version: 1701.08139v1 · doi: 10.48550/arxiv.1701.08139 · pith_short_12: C63VCIYMR3GD · pith_short_16: C63VCIYMR3GDYSCN · pith_short_8: C63VCIYM

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/C63VCIYMR3GDYSCNA3GN47P5PW \
  | 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: 17b751230c8ecc3c484d06ccde7dfd7d954611d9f2155d8ca8d33e1d281d22c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a31795b44f3231f5e7844154183e102c4dfc7f2bc12fee9e382f47e8d18c2dd7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-01-27T18:26:28Z",
    "title_canon_sha256": "522ab277deb5f87e48925401543e54d00161eb38b177b90f4b543d718c5f47db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08139",
    "kind": "arxiv",
    "version": 1
  }
}