Pith Number

pith:TBER2AJO

pith:2011:TBER2AJOPURQJDINRGWICMDQBI

not attested not anchored not stored refs pending

On representations of Clifford algebras of ternary cubic forms

Emre Coskun, Rajesh S. Kulkarni, Yusuf Mustopa

arxiv:1107.1506 v1 · 2011-07-07 · math.RA · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TBER2AJOPURQJDINRGWICMDQBI}

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	2026-05-18T04:18:35.529992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98491d012e7d23048d0d89ac8130700a1205d4c2f631591988eba08a5582ae84

Aliases

arxiv: 1107.1506 · arxiv_version: 1107.1506v1 · doi: 10.48550/arxiv.1107.1506 · pith_short_12: TBER2AJOPURQ · pith_short_16: TBER2AJOPURQJDIN · pith_short_8: TBER2AJO

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/TBER2AJOPURQJDINRGWICMDQBI \
  | 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: 98491d012e7d23048d0d89ac8130700a1205d4c2f631591988eba08a5582ae84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d12e1efe4c06e442ad0af3bbce947ce6cdb6d473c5126e98a3eed2ad29157979",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-07-07T20:08:58Z",
    "title_canon_sha256": "c5821b456320d589b16c28b389ecd953c8f409680dfd2a209a0e653b1b57a55e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1506",
    "kind": "arxiv",
    "version": 1
  }
}