Pith Number

pith:HKR45S4P

pith:2016:HKR45S4PPR4CEJPEFP2PVIG6LM

not attested not anchored not stored refs pending

Centralizer's applications to the inverse along an element

Huihui Zhu, Jianlong Chen, Pedro Patricio, Xavier Mary

arxiv:1606.02450 v2 · 2016-06-08 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HKR45S4PPR4CEJPEFP2PVIG6LM}

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	2026-05-18T01:12:34.096443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3aa3cecb8f7c782225e42bf4faa0de5b3428738ed8e635045d4393c0b260b04b

Aliases

arxiv: 1606.02450 · arxiv_version: 1606.02450v2 · doi: 10.48550/arxiv.1606.02450 · pith_short_12: HKR45S4PPR4C · pith_short_16: HKR45S4PPR4CEJPE · pith_short_8: HKR45S4P

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/HKR45S4PPR4CEJPEFP2PVIG6LM \
  | 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: 3aa3cecb8f7c782225e42bf4faa0de5b3428738ed8e635045d4393c0b260b04b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d21ade340b56b723df8b820faaf322edbed949ca630edbb4f80659bca4d85988",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-06-08T08:32:35Z",
    "title_canon_sha256": "c010a96f7f102b6730c7484d6654da3cf94d5ab0a993efa6af6ce18440a26eff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02450",
    "kind": "arxiv",
    "version": 2
  }
}