Pith Number

pith:G5JS7BHH

pith:2017:G5JS7BHH4TPC6E7UMYJJF3VSTN

not attested not anchored not stored refs pending

Unitary Representations with non-zero Dirac cohomology for complex $E_6$

Chao-Ping Dong

arxiv:1707.01380 v2 · 2017-07-05 · 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{G5JS7BHH4TPC6E7UMYJJF3VSTN}

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	2026-05-17T23:57:32.790511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37532f84e7e4de2f13f4661292eeb29b6a208b25678d947994ed3b2e87857b42

Aliases

arxiv: 1707.01380 · arxiv_version: 1707.01380v2 · doi: 10.48550/arxiv.1707.01380 · pith_short_12: G5JS7BHH4TPC · pith_short_16: G5JS7BHH4TPC6E7U · pith_short_8: G5JS7BHH

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/G5JS7BHH4TPC6E7UMYJJF3VSTN \
  | 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: 37532f84e7e4de2f13f4661292eeb29b6a208b25678d947994ed3b2e87857b42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8691364136f086a32c95e0dbe8f69f0954b807f463dc1a5ee667b5b65390fafa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-07-05T13:16:42Z",
    "title_canon_sha256": "de9f96fd75d736e8d776ab1238dd1df58a34f1ba44aa99e1d0bbb6586eeffc7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01380",
    "kind": "arxiv",
    "version": 2
  }
}