Pith Number

pith:NXKBGHAK

pith:2001:NXKBGHAKYK2DYC3UPHRQQ63YJI

not attested not anchored not stored refs pending

Quantum cohomology of the infinite dimensional generalized flag manifolds

Augustin-Liviu Mare

arxiv:math/0105133 v4 · 2001-05-16 · math.DG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NXKBGHAKYK2DYC3UPHRQQ63YJI}

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	2026-05-18T01:05:37.799917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dd4131c0ac2b43c0b7479e3087b784a122767f4b78f3b928672c2e391ab4093

Aliases

arxiv: math/0105133 · arxiv_version: math/0105133v4 · doi: 10.48550/arxiv.math/0105133 · pith_short_12: NXKBGHAKYK2D · pith_short_16: NXKBGHAKYK2DYC3U · pith_short_8: NXKBGHAK

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/NXKBGHAKYK2DYC3UPHRQQ63YJI \
  | 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: 6dd4131c0ac2b43c0b7479e3087b784a122767f4b78f3b928672c2e391ab4093

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4c554acc76f877334695ee19926ba0dd2507971f5ce35d6f7dc84a2ee0744ce",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2001-05-16T16:31:00Z",
    "title_canon_sha256": "f53695eaa6affd3bbc4b25d775dc98e1a0a5fb98bf45742d6a3e66801cd4aca5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0105133",
    "kind": "arxiv",
    "version": 4
  }
}