Pith Number

pith:MYABFU62

pith:2012:MYABFU622YIVNMLSYSAGJM57MY

not attested not anchored not stored refs pending

Dirac cohomology of one K-type representations

Allen Moy, Dan Ciubotaru

arxiv:1208.4664 v1 · 2012-08-23 · 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{MYABFU622YIVNMLSYSAGJM57MY}

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	2026-05-18T03:48:12.920969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

660012d3dad61156b172c48064b3bf6628dd01693ea8c670bea2b921f1062e52

Aliases

arxiv: 1208.4664 · arxiv_version: 1208.4664v1 · doi: 10.48550/arxiv.1208.4664 · pith_short_12: MYABFU622YIV · pith_short_16: MYABFU622YIVNMLS · pith_short_8: MYABFU62

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/MYABFU622YIVNMLSYSAGJM57MY \
  | 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: 660012d3dad61156b172c48064b3bf6628dd01693ea8c670bea2b921f1062e52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a98e71aaa584ed617bb3ab1f7376602f25a1f9506686528fd574e3571d65968f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-08-23T03:18:08Z",
    "title_canon_sha256": "7430b3dea7db5165711d9eca0f98dab6539f18b88779cbe303507cc9cb33757a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4664",
    "kind": "arxiv",
    "version": 1
  }
}