Pith Number

pith:BDEBWDFF

pith:2018:BDEBWDFFFACFUZLW3CZARBXMSH

not attested not anchored not stored refs pending

Thomsen-Li's Theorem Revisited

George A. Elliott, Xia Zhao, Zhiqiang Li

arxiv:1808.10581 v2 · 2018-08-31 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BDEBWDFFFACFUZLW3CZARBXMSH}

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	2026-05-18T00:05:45.022993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08c81b0ca528045a6576d8b20886ec91cd0f29741217f551e22bdd94554a4e13

Aliases

arxiv: 1808.10581 · arxiv_version: 1808.10581v2 · doi: 10.48550/arxiv.1808.10581 · pith_short_12: BDEBWDFFFACF · pith_short_16: BDEBWDFFFACFUZLW · pith_short_8: BDEBWDFF

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/BDEBWDFFFACFUZLW3CZARBXMSH \
  | 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: 08c81b0ca528045a6576d8b20886ec91cd0f29741217f551e22bdd94554a4e13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07510623305467b6aa7b95ca13d67a37d64d8ba6b6d395e4899855261a68f0b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-08-31T03:06:48Z",
    "title_canon_sha256": "44e67b18994501a592a92460286809e460333f31408a1010bf680d54ebef2831"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10581",
    "kind": "arxiv",
    "version": 2
  }
}