Pith Number

pith:NKQZZTYS

pith:2011:NKQZZTYS4YYIMQMVFLJNI5BGH7

not attested not anchored not stored refs pending

Topological monoids of monotone injective partial selfmaps of $\mathbb{N}$ with cofinite domain and image

Du\v{s}an Repov\v{s}, Oleg Gutik

arxiv:1108.2848 v1 · 2011-08-14 · math.GN · 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{NKQZZTYS4YYIMQMVFLJNI5BGH7}

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	2026-05-18T04:15:35.519483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6aa19ccf12e6308641952ad2d474263fd4925d3dc4c1f56858c7a42e2332245b

Aliases

arxiv: 1108.2848 · arxiv_version: 1108.2848v1 · doi: 10.48550/arxiv.1108.2848 · pith_short_12: NKQZZTYS4YYI · pith_short_16: NKQZZTYS4YYIMQMV · pith_short_8: NKQZZTYS

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/NKQZZTYS4YYIMQMVFLJNI5BGH7 \
  | 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: 6aa19ccf12e6308641952ad2d474263fd4925d3dc4c1f56858c7a42e2332245b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25ae39bffcb20858d3ee3eeebe3e0eb236e578ad96cd992ea26db4610e5b3c9a",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2011-08-14T07:39:15Z",
    "title_canon_sha256": "03e73318fef16a9b7e5e3c32a489ce155cbe638344a0a0ed95d950f427bd0d16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2848",
    "kind": "arxiv",
    "version": 1
  }
}