Pith Number

pith:DM3HETNZ

pith:2009:DM3HETNZDOSPZ5M2ZU2EDKRXNS

not attested not anchored not stored refs pending

Semidirect products of representations up to homotopy

Chenchang Zhu, Yunhe Sheng

arxiv:0910.2147 v1 · 2009-10-12 · math.DG · 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{DM3HETNZDOSPZ5M2ZU2EDKRXNS}

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	2026-05-18T04:25:37.940364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b36724db91ba4fcf59acd3441aa376cb255e117942f3997e6db65e49edd218d

Aliases

arxiv: 0910.2147 · arxiv_version: 0910.2147v1 · doi: 10.48550/arxiv.0910.2147 · pith_short_12: DM3HETNZDOSP · pith_short_16: DM3HETNZDOSPZ5M2 · pith_short_8: DM3HETNZ

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/DM3HETNZDOSPZ5M2ZU2EDKRXNS \
  | 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: 1b36724db91ba4fcf59acd3441aa376cb255e117942f3997e6db65e49edd218d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dcbe84df318c5375837b2873bc48d0d17245ee03f49caddce37a9079f03943d",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-10-12T12:29:15Z",
    "title_canon_sha256": "0fe24454d044515aef7e63cbe5cdff82acaefb2a7b76d31d70fd3a2ed406af9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.2147",
    "kind": "arxiv",
    "version": 1
  }
}