Pith Number

pith:KZ2WYPTF

pith:2016:KZ2WYPTFSDICZMXCQHZ54GQ6KS

not attested not anchored not stored refs pending

Non-vanishing elements in finite groups

Julian Brough

arxiv:1603.04051 v2 · 2016-03-13 · 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{KZ2WYPTFSDICZMXCQHZ54GQ6KS}

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	2026-05-18T01:18:52.118441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56756c3e6590d02cb2e281f3de1a1e5491c7405c5aee4da0c6513d670c6a1d9d

Aliases

arxiv: 1603.04051 · arxiv_version: 1603.04051v2 · doi: 10.48550/arxiv.1603.04051 · pith_short_12: KZ2WYPTFSDIC · pith_short_16: KZ2WYPTFSDICZMXC · pith_short_8: KZ2WYPTF

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/KZ2WYPTFSDICZMXCQHZ54GQ6KS \
  | 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: 56756c3e6590d02cb2e281f3de1a1e5491c7405c5aee4da0c6513d670c6a1d9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "595d166e732c33a8778ffaeea143b509602daacb9e0d1b8bba2fb9960ff87602",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-03-13T17:18:49Z",
    "title_canon_sha256": "fbd770795bb9fd2bcf07f709c710016e03743bee998dc7dcdf7b9d77760f862b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04051",
    "kind": "arxiv",
    "version": 2
  }
}