Pith Number

pith:HOAZVDI6

pith:2012:HOAZVDI6E7TIF35YOOR3SHX7HJ

not attested not anchored not stored refs pending

On periodic points of free inverse monoid endomorphisms

Emanuele Rodaro, Pedro V. Silva

arxiv:1212.4284 v1 · 2012-12-18 · math.GR · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HOAZVDI6E7TIF35YOOR3SHX7HJ}

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	2026-05-18T03:00:01.102401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b819a8d1e27e682efb873a3b91eff3a777d11a8222d5a1109e72c840eb9f75e

Aliases

arxiv: 1212.4284 · arxiv_version: 1212.4284v1 · doi: 10.48550/arxiv.1212.4284 · pith_short_12: HOAZVDI6E7TI · pith_short_16: HOAZVDI6E7TIF35Y · pith_short_8: HOAZVDI6

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/HOAZVDI6E7TIF35YOOR3SHX7HJ \
  | 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: 3b819a8d1e27e682efb873a3b91eff3a777d11a8222d5a1109e72c840eb9f75e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf19b24cababaebceb2a43b439764e7f460cad85a35a3d4797f198d35f37361b",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-12-18T09:44:45Z",
    "title_canon_sha256": "cb5d8beb7277758b5fb305fa63347366ff46103f022c6b632150a6a0db7b2947"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4284",
    "kind": "arxiv",
    "version": 1
  }
}