Pith Number

pith:DMLW4RQQ

pith:2016:DMLW4RQQLLPKZHD23ETOSS5XDC

not attested not anchored not stored refs pending

On Tate duality and a projective scalar property for symmetric algebras

Florian Eisele, Markus Linckelmann, Michael Geline, Radha Kessar

arxiv:1608.06497 v1 · 2016-08-23 · math.RT · 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{DMLW4RQQLLPKZHD23ETOSS5XDC}

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	2026-05-18T00:20:57.291380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b176e46105adeac9c7ad926e94bb718b19b7cb588178fbd7f7bba53dbaff702

Aliases

arxiv: 1608.06497 · arxiv_version: 1608.06497v1 · doi: 10.48550/arxiv.1608.06497 · pith_short_12: DMLW4RQQLLPK · pith_short_16: DMLW4RQQLLPKZHD2 · pith_short_8: DMLW4RQQ

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/DMLW4RQQLLPKZHD23ETOSS5XDC \
  | 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: 1b176e46105adeac9c7ad926e94bb718b19b7cb588178fbd7f7bba53dbaff702

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff242c1eb65f3d1588318bc0594e6da176b7b341fae4478abf74697a159e28d2",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-08-23T13:12:55Z",
    "title_canon_sha256": "7580251431a11bc977d166e2369f52b73b5ae70f4324660c87b18c67548edbc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06497",
    "kind": "arxiv",
    "version": 1
  }
}