Pith Number

pith:WQKS7OPF

pith:2013:WQKS7OPFHCPSJZWKPQAYYVZ5WG

not attested not anchored not stored refs pending

Unipotent commutative group actions on flag varieties and nilpotent multiplications

Rostislav Devyatov

arxiv:1309.3480 v1 · 2013-09-13 · math.AG · 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{WQKS7OPFHCPSJZWKPQAYYVZ5WG}

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	2026-05-18T01:30:43.480120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4152fb9e5389f24e6ca7c018c573db19525d5073d7748065f4c22ec133cbbd0

Aliases

arxiv: 1309.3480 · arxiv_version: 1309.3480v1 · doi: 10.48550/arxiv.1309.3480 · pith_short_12: WQKS7OPFHCPS · pith_short_16: WQKS7OPFHCPSJZWK · pith_short_8: WQKS7OPF

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/WQKS7OPFHCPSJZWKPQAYYVZ5WG \
  | 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: b4152fb9e5389f24e6ca7c018c573db19525d5073d7748065f4c22ec133cbbd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbcb47e6b926c7f41066e222a17642a8f7c763b06849f116960c17113606b8e2",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-09-13T15:08:41Z",
    "title_canon_sha256": "d4c82203a7abdb75d404cd71bc62923d3bc760d43ae8d6b0c73491c4a90c81d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3480",
    "kind": "arxiv",
    "version": 1
  }
}