Pith Number

pith:Z7F7WTL3

pith:2012:Z7F7WTL3VBPWFTFEH4TTXEZGK7

not attested not anchored not stored refs pending

Invariance groups of finite functions and orbit equivalence of permutation groups

Eszter K. Horv\'ath, G\'eza Makay, Reinhard P\"oschel, Tam\'as Waldhauser

arxiv:1210.1015 v2 · 2012-10-03 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7F7WTL3VBPWFTFEH4TTXEZGK7}

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	2026-05-18T03:39:14.364104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfcbfb4d7ba85f62cca43f273b932657e8a10df71e3b1171227630aa838d59c9

Aliases

arxiv: 1210.1015 · arxiv_version: 1210.1015v2 · doi: 10.48550/arxiv.1210.1015 · pith_short_12: Z7F7WTL3VBPW · pith_short_16: Z7F7WTL3VBPWFTFE · pith_short_8: Z7F7WTL3

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/Z7F7WTL3VBPWFTFEH4TTXEZGK7 \
  | 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: cfcbfb4d7ba85f62cca43f273b932657e8a10df71e3b1171227630aa838d59c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aa9b3d093e7c1d3ea971a20808cb558ab8f130e794b6d41b1534ad132e2fdf9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-10-03T07:58:27Z",
    "title_canon_sha256": "85320d5db53ebd7b5c82872c6e921eec12615e1ceba22c4694fe693d78ba24b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1015",
    "kind": "arxiv",
    "version": 2
  }
}