Pith Number

pith:7LPKASIV

pith:2013:7LPKASIVRIR3FOYDF2IUPVCDZW

not attested not anchored not stored refs pending

Topological freeness for $*$-commuting covering maps

Nicolai Stammeier

arxiv:1311.0793 v3 · 2013-11-04 · math.OA · 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{7LPKASIVRIR3FOYDF2IUPVCDZW}

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	2026-05-18T02:35:52.288013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fadea049158a23b2bb032e9147d443cdaecc365cba5c87b364a78b0b31d24def

Aliases

arxiv: 1311.0793 · arxiv_version: 1311.0793v3 · doi: 10.48550/arxiv.1311.0793 · pith_short_12: 7LPKASIVRIR3 · pith_short_16: 7LPKASIVRIR3FOYD · pith_short_8: 7LPKASIV

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/7LPKASIVRIR3FOYDF2IUPVCDZW \
  | 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: fadea049158a23b2bb032e9147d443cdaecc365cba5c87b364a78b0b31d24def

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40689dd8fa08953882a599d7c9243aeb7a9a062a77f870c3461c61ae55adb3f4",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-11-04T17:51:10Z",
    "title_canon_sha256": "204735c0282be298b8278e3a7f8671c987e154944472f712cd02e2676f212c4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0793",
    "kind": "arxiv",
    "version": 3
  }
}