Pith Number

pith:2I47N2TS

pith:2015:2I47N2TSJ7V6SPDDERTUGS7WYB

not attested not anchored not stored refs pending

Inverse semigroup shifts over countable alphabets

Charles Starling, Daniel Gon\c{c}alves, Marcelo Sobottka

arxiv:1510.04117 v2 · 2015-10-14 · math.DS · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2I47N2TSJ7V6SPDDERTUGS7WYB}

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	2026-05-18T00:23:26.897710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d239f6ea724febe93c632467434bf6c055c068b9a96046f6eb580bdd18fbc8ba

Aliases

arxiv: 1510.04117 · arxiv_version: 1510.04117v2 · doi: 10.48550/arxiv.1510.04117 · pith_short_12: 2I47N2TSJ7V6 · pith_short_16: 2I47N2TSJ7V6SPDD · pith_short_8: 2I47N2TS

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/2I47N2TSJ7V6SPDDERTUGS7WYB \
  | 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: d239f6ea724febe93c632467434bf6c055c068b9a96046f6eb580bdd18fbc8ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "710c21c3b28a1a0c21ac6a2f2bc100db7b3ba28d23447a936bda11a525cfb527",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-10-14T14:33:16Z",
    "title_canon_sha256": "ae4bcdfd8c95d7317cc69f3fec8834843b7bb3e43027ec0e4239cb6df00e4ad7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04117",
    "kind": "arxiv",
    "version": 2
  }
}