Pith Number

pith:XT5336B6

pith:2016:XT5336B64FT7DQ4OTM7TP3ASDR

not attested not anchored not stored refs pending

Towers of regular self-covers and linear endomorphisms of tori

Wouter van Limbeek

arxiv:1609.06605 v1 · 2016-09-21 · math.GT · math.DG · 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{XT5336B64FT7DQ4OTM7TP3ASDR}

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	2026-05-18T00:18:20.713815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcfbbdf83ee167f1c38e9b3f37ec121c5112a4aea00975289f25960ffcaa3fea

Aliases

arxiv: 1609.06605 · arxiv_version: 1609.06605v1 · doi: 10.48550/arxiv.1609.06605 · pith_short_12: XT5336B64FT7 · pith_short_16: XT5336B64FT7DQ4O · pith_short_8: XT5336B6

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/XT5336B64FT7DQ4OTM7TP3ASDR \
  | 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: bcfbbdf83ee167f1c38e9b3f37ec121c5112a4aea00975289f25960ffcaa3fea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24ce387e02eec305cd81b4cd1cee21ea2dc3383fa2603b89586cc6b806fbe906",
    "cross_cats_sorted": [
      "math.DG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-09-21T15:35:35Z",
    "title_canon_sha256": "d3285f4c8051d5d65c20c77dc47ff2a3e76d7ffdfe1fd730148d0e7f60c16016"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06605",
    "kind": "arxiv",
    "version": 1
  }
}