Pith Number

pith:5SXVK654

pith:2011:5SXVK654SU5V7HS6ZVP5Z6XLE3

not attested not anchored not stored refs pending

Totally nonfree actions and infinite symmetric group

Anatoly Vershik

arxiv:1109.3413 v4 · 2011-09-15 · math.DS · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5SXVK654SU5V7HS6ZVP5Z6XLE3}

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	2026-05-18T04:09:46.728570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecaf557bbc953b5f9e5ecd5fdcfaeb26e5b387ca270bfd0cc9098de8ebafb7d9

Aliases

arxiv: 1109.3413 · arxiv_version: 1109.3413v4 · doi: 10.48550/arxiv.1109.3413 · pith_short_12: 5SXVK654SU5V · pith_short_16: 5SXVK654SU5V7HS6 · pith_short_8: 5SXVK654

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/5SXVK654SU5V7HS6ZVP5Z6XLE3 \
  | 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: ecaf557bbc953b5f9e5ecd5fdcfaeb26e5b387ca270bfd0cc9098de8ebafb7d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc59b029bd6af92674c340eae385c70dc438011f72d4f38379ed9464dc214ee4",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-09-15T17:45:37Z",
    "title_canon_sha256": "24974254baedbf047537480801f44c9c5df323923533efe2f7961b668169865f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3413",
    "kind": "arxiv",
    "version": 4
  }
}