Pith Number

pith:R6XYNFWS

pith:2011:R6XYNFWSPXO5S5NYIXJDEDIQOQ

not attested not anchored not stored refs pending

Twisted gamma-filtration of a linear algebraic group

Kirill Zainoulline

arxiv:1102.0037 v2 · 2011-01-31 · math.AG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R6XYNFWSPXO5S5NYIXJDEDIQOQ}

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	2026-05-17T23:53:19.468301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8faf8696d27dddd975b845d2320d107416fed2c17bcc0f87d88502ccc1a9d276

Aliases

arxiv: 1102.0037 · arxiv_version: 1102.0037v2 · doi: 10.48550/arxiv.1102.0037 · pith_short_12: R6XYNFWSPXO5 · pith_short_16: R6XYNFWSPXO5S5NY · pith_short_8: R6XYNFWS

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/R6XYNFWSPXO5S5NYIXJDEDIQOQ \
  | 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: 8faf8696d27dddd975b845d2320d107416fed2c17bcc0f87d88502ccc1a9d276

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e82b4f0cbefcaae7d997f2ef173807aaf9ac86a550b7dde29f9e4c0981a5c01",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-01-31T23:27:14Z",
    "title_canon_sha256": "c05d9f8c7aa8bd836f989feb23cec40515419dbf9555e3b6b4dcba3e4d917ae4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0037",
    "kind": "arxiv",
    "version": 2
  }
}