Pith Number

pith:7AI5AKLU

pith:2016:7AI5AKLUMMK35TPMEEIKYFETWE

not attested not anchored not stored refs pending

Duality and contravariant functors in the representation theory of artin algebras

Samuel Dean

arxiv:1603.05863 v3 · 2016-03-18 · math.RT · math.CT · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7AI5AKLUMMK35TPMEEIKYFETWE}

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	2026-05-18T00:50:09.755780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f811d029746315becdec2110ac1493b139d2fb7c1ece48a9da3ac3ce7e0ae891

Aliases

arxiv: 1603.05863 · arxiv_version: 1603.05863v3 · doi: 10.48550/arxiv.1603.05863 · pith_short_12: 7AI5AKLUMMK3 · pith_short_16: 7AI5AKLUMMK35TPM · pith_short_8: 7AI5AKLU

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/7AI5AKLUMMK35TPMEEIKYFETWE \
  | 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: f811d029746315becdec2110ac1493b139d2fb7c1ece48a9da3ac3ce7e0ae891

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6ef73a0f5dfd9f78ff25879b7afabcdfed2d0e0715cac7d423dcf70f5630893",
    "cross_cats_sorted": [
      "math.CT",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-03-18T13:01:13Z",
    "title_canon_sha256": "f659d548363a6ac6a6d2620b1349183dd9a059529539afefc8ab90d6487ae784"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05863",
    "kind": "arxiv",
    "version": 3
  }
}