Pith Number

pith:JSFYIRSP

pith:2011:JSFYIRSPBZ5PIJBY2IG6WODXJX

not attested not anchored not stored refs pending

Topologization of sets endowed with an action of a monoid

Igor Protasov, Olga Sipacheva, Taras Banakh

arxiv:1112.5729 v2 · 2011-12-24 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JSFYIRSPBZ5PIJBY2IG6WODXJX}

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	2026-05-18T02:32:14.721803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c8b84464f0e7af42438d20deb38774df1cffdd87fca1030eba9ae7b75409be9

Aliases

arxiv: 1112.5729 · arxiv_version: 1112.5729v2 · doi: 10.48550/arxiv.1112.5729 · pith_short_12: JSFYIRSPBZ5P · pith_short_16: JSFYIRSPBZ5PIJBY · pith_short_8: JSFYIRSP

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/JSFYIRSPBZ5PIJBY2IG6WODXJX \
  | 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: 4c8b84464f0e7af42438d20deb38774df1cffdd87fca1030eba9ae7b75409be9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "010ad1c47b5c234e2459d6b07a7ef0bf6f98049e262d7be89239e08d0c5cc7b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2011-12-24T14:37:34Z",
    "title_canon_sha256": "d386048a3a01808cca6350642d5d40e7a6d84510eb00f7318329f2868e57dbc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5729",
    "kind": "arxiv",
    "version": 2
  }
}