Pith Number

pith:QGT2OOOV

pith:2011:QGT2OOOVSRZUIIGF2K6P2RZSTC

not attested not anchored not stored refs pending

The cohomology ring of the GKM graph of a flag manifold of classical type

Hiroaki Ishida, Mikiya Masuda, Yukiko Fukukawa

arxiv:1104.1832 v3 · 2011-04-11 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGT2OOOVSRZUIIGF2K6P2RZSTC}

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	2026-05-18T01:28:22.027324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81a7a739d594734420c5d2bcfd473298b525a0ddbd89944336220238b86f6370

Aliases

arxiv: 1104.1832 · arxiv_version: 1104.1832v3 · doi: 10.48550/arxiv.1104.1832 · pith_short_12: QGT2OOOVSRZU · pith_short_16: QGT2OOOVSRZUIIGF · pith_short_8: QGT2OOOV

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/QGT2OOOVSRZUIIGF2K6P2RZSTC \
  | 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: 81a7a739d594734420c5d2bcfd473298b525a0ddbd89944336220238b86f6370

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d31e97ea5b1bc8369f0a1786f8ec1b00b6145cf991bd98d06a8ea4226596cd94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-04-11T02:55:30Z",
    "title_canon_sha256": "905849d6089fee25ca80958421b83ab3f7fe54215d7829aeee8fdd5ca563fd15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1832",
    "kind": "arxiv",
    "version": 3
  }
}