Pith Number

pith:TYECTXMT

pith:2012:TYECTXMTXY4NPUXYJCN4QLRPIN

not attested not anchored not stored refs pending

Cohomological equation and cocycle rigidity of parabolic actions in $SL(n,\RR)$

Zhenqi Jenny Wang

arxiv:1211.0777 v3 · 2012-11-05 · math.DS · 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{TYECTXMTXY4NPUXYJCN4QLRPIN}

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	2026-05-18T03:41:19.816442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e0829dd93be38d7d2f8489bc82e2f4349cd7896a4e99b7f1dc942ff8fbfbdb2

Aliases

arxiv: 1211.0777 · arxiv_version: 1211.0777v3 · doi: 10.48550/arxiv.1211.0777 · pith_short_12: TYECTXMTXY4N · pith_short_16: TYECTXMTXY4NPUXY · pith_short_8: TYECTXMT

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/TYECTXMTXY4NPUXYJCN4QLRPIN \
  | 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: 9e0829dd93be38d7d2f8489bc82e2f4349cd7896a4e99b7f1dc942ff8fbfbdb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e231fb486945c502cdab389fb0252f17ff9de36f5c1ce79f4feb3ab9379dd95",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-11-05T07:10:20Z",
    "title_canon_sha256": "c536ad42cc6dc4e48bdf7ce70ceaefb5a4288bac35b324d4417cc694cec06686"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0777",
    "kind": "arxiv",
    "version": 3
  }
}