Pith Number

pith:M3PYQB6W

pith:2019:M3PYQB6WHQHIDCG7VTWFAS6J6S

not attested not anchored not stored refs pending

Free commuting involutions on closed two-dimensional surfaces

Tatiana Neretina

arxiv:1904.08181 v1 · 2019-04-17 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M3PYQB6WHQHIDCG7VTWFAS6J6S}

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	2026-05-17T23:48:18.487851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66df8807d63c0e8188dfacec504bc9f4841505206d9af1b2d6ef5863ae8b617d

Aliases

arxiv: 1904.08181 · arxiv_version: 1904.08181v1 · doi: 10.48550/arxiv.1904.08181 · pith_short_12: M3PYQB6WHQHI · pith_short_16: M3PYQB6WHQHIDCG7 · pith_short_8: M3PYQB6W

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/M3PYQB6WHQHIDCG7VTWFAS6J6S \
  | 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: 66df8807d63c0e8188dfacec504bc9f4841505206d9af1b2d6ef5863ae8b617d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f0e20a48001bfe83cc0fda34adac4f57ed851314a8bfd40ce1ba92f7538587c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-04-17T10:58:50Z",
    "title_canon_sha256": "0fbc431e258d0864017e066e0bac8f10e1b16a265581e4d41dae3deecaab7344"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.08181",
    "kind": "arxiv",
    "version": 1
  }
}