Pith Number

pith:VGV4SRWB

pith:2014:VGV4SRWBQBJECAS2EUBUVVF3HX

not attested not anchored not stored refs pending

Dual Perfect Bases and dual perfect graphs

Byeong Hoon Kahng, Masaki Kashiwara, Seok-Jin Kang, Uhi Rinn Suh

arxiv:1405.1820 v1 · 2014-05-08 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VGV4SRWBQBJECAS2EUBUVVF3HX}

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	2026-05-18T02:52:22.338849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9abc946c1805241025a25034ad4bb3df3d8b12ad8f9d8bebed40003181a6c6b

Aliases

arxiv: 1405.1820 · arxiv_version: 1405.1820v1 · doi: 10.48550/arxiv.1405.1820 · pith_short_12: VGV4SRWBQBJE · pith_short_16: VGV4SRWBQBJECAS2 · pith_short_8: VGV4SRWB

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/VGV4SRWBQBJECAS2EUBUVVF3HX \
  | 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: a9abc946c1805241025a25034ad4bb3df3d8b12ad8f9d8bebed40003181a6c6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81ebebdb0190c9b24f57c3a30838da00d4d52d37074b2e0a477fe722fe8167cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-05-08T07:21:38Z",
    "title_canon_sha256": "1de2e3d300d2db9dfd77b3813620ebe6b180455044ea6249615258170cf74d5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1820",
    "kind": "arxiv",
    "version": 1
  }
}