Pith Number

pith:TQSHV5D3

pith:2010:TQSHV5D3Z5LFGUWQUMFXRV3F5Z

not attested not anchored not stored refs pending

Dynamical properties of profinite actions

G\'abor Elek, Mikl\'os Ab\'ert

arxiv:1005.3188 v3 · 2010-05-18 · math.GR · math.CO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TQSHV5D3Z5LFGUWQUMFXRV3F5Z}

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	2026-05-18T04:12:55.050104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c247af47bcf565352d0a30b78d765ee5b105380c434a821c34c6666037314be

Aliases

arxiv: 1005.3188 · arxiv_version: 1005.3188v3 · doi: 10.48550/arxiv.1005.3188 · pith_short_12: TQSHV5D3Z5LF · pith_short_16: TQSHV5D3Z5LFGUWQ · pith_short_8: TQSHV5D3

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/TQSHV5D3Z5LFGUWQUMFXRV3F5Z \
  | 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: 9c247af47bcf565352d0a30b78d765ee5b105380c434a821c34c6666037314be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d52c144d1280645590ffecdeeb68397a4c4f6e5fe4eac876a1138fdaca23945",
    "cross_cats_sorted": [
      "math.CO",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-05-18T13:09:55Z",
    "title_canon_sha256": "7752dc0cd86e7fbe9bc1a4c367091a28bcb02eb8e92c8327d9ab388455a0fa1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3188",
    "kind": "arxiv",
    "version": 3
  }
}