Pith Number

pith:3UP5ZTPC

pith:2015:3UP5ZTPCGC234DKC35EJR5AH6U

not attested not anchored not stored refs pending

Integral Points and Relative Sizes of Coordinates of Orbits in P^N

Yu Yasufuku

arxiv:1501.03567 v1 · 2015-01-15 · math.NT · 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{3UP5ZTPCGC234DKC35EJR5AH6U}

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	2026-05-18T02:29:18.230497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd1fdccde230b5be0d42df4898f407f53600fb31d8cacd6858305b02ffe5fc8a

Aliases

arxiv: 1501.03567 · arxiv_version: 1501.03567v1 · doi: 10.48550/arxiv.1501.03567 · pith_short_12: 3UP5ZTPCGC23 · pith_short_16: 3UP5ZTPCGC234DKC · pith_short_8: 3UP5ZTPC

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/3UP5ZTPCGC234DKC35EJR5AH6U \
  | 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: dd1fdccde230b5be0d42df4898f407f53600fb31d8cacd6858305b02ffe5fc8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "513756e187727549b56c9f6c99d3d03cb903fdbd11800dbfe46b720979ffc225",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-01-15T04:14:16Z",
    "title_canon_sha256": "4940b3103748e89332b05eaf9152af4dcc691bd204e0bc6e174e1e9b5330d591"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03567",
    "kind": "arxiv",
    "version": 1
  }
}