Pith Number

pith:SQC3TZ66

pith:2015:SQC3TZ66ZD7OWUB2Z437JZWO5J

not attested not anchored not stored refs pending

Periodic and eventually periodic points of affine infra-nilmanifold endomorphisms

Jonas Der\'e

arxiv:1506.02477 v1 · 2015-06-08 · math.AT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SQC3TZ66ZD7OWUB2Z437JZWO5J}

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	2026-05-18T01:55:51.013582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9405b9e7dec8feeb503acf37f4e6ceea432711d14938ce9437957240a7601c4c

Aliases

arxiv: 1506.02477 · arxiv_version: 1506.02477v1 · doi: 10.48550/arxiv.1506.02477 · pith_short_12: SQC3TZ66ZD7O · pith_short_16: SQC3TZ66ZD7OWUB2 · pith_short_8: SQC3TZ66

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/SQC3TZ66ZD7OWUB2Z437JZWO5J \
  | 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: 9405b9e7dec8feeb503acf37f4e6ceea432711d14938ce9437957240a7601c4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7a10808451c11e4dd51d17b4e5ce5b664cc6067db31bd702c2b9a52365c166b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-06-08T13:16:27Z",
    "title_canon_sha256": "cef72cc70e394ee3e41960e97670047817fb75dd64e6097ec85f928217eba31c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02477",
    "kind": "arxiv",
    "version": 1
  }
}