Pith Number

pith:36BR5XAQ

pith:2007:36BR5XAQXZSAXZS4L3YBD4ESMO

not attested not anchored not stored refs pending

Polynomial identities and noncommutative versal torsors

Christian Kassel, Eli Aljadeff

arxiv:0708.4108 v1 · 2007-08-30 · math.QA · 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{36BR5XAQXZSAXZS4L3YBD4ESMO}

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	2026-05-18T03:36:25.469930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df831edc10be640be65c5ef011f0926392574f50d60eaf2bedd2eacf2f23429f

Aliases

arxiv: 0708.4108 · arxiv_version: 0708.4108v1 · doi: 10.48550/arxiv.0708.4108 · pith_short_12: 36BR5XAQXZSA · pith_short_16: 36BR5XAQXZSAXZS4 · pith_short_8: 36BR5XAQ

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/36BR5XAQXZSAXZS4L3YBD4ESMO \
  | 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: df831edc10be640be65c5ef011f0926392574f50d60eaf2bedd2eacf2f23429f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b60ad3dde56dd8b95e94869094bab9a764150421eba17829bf08eb467910dcf",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2007-08-30T08:51:02Z",
    "title_canon_sha256": "5975c00327b7264be5fe4c3293af133cccd7076241cf178282a0482fff496c82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.4108",
    "kind": "arxiv",
    "version": 1
  }
}