Pith Number

pith:6L6OTM7G

pith:2007:6L6OTM7GB74XZBHT6DZZLROZVC

not attested not anchored not stored refs pending

Schubert calculus and cohomology of Lie groups. Part I. 1-connected Lie groups

Haibao Duan, Xuezhi Zhao

arxiv:0711.2541 v14 · 2007-11-16 · math.AT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6L6OTM7GB74XZBHT6DZZLROZVC}

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	2026-05-18T01:33:32.961798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2fce9b3e60ff97c84f3f0f395c5d9a8b167c5b1d27e92ad0a8fd4f0a21a02e3

Aliases

arxiv: 0711.2541 · arxiv_version: 0711.2541v14 · doi: 10.48550/arxiv.0711.2541 · pith_short_12: 6L6OTM7GB74X · pith_short_16: 6L6OTM7GB74XZBHT · pith_short_8: 6L6OTM7G

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/6L6OTM7GB74XZBHT6DZZLROZVC \
  | 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: f2fce9b3e60ff97c84f3f0f395c5d9a8b167c5b1d27e92ad0a8fd4f0a21a02e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6931b9c355750674ced104fd7a1e84a18167c533c1a2ed817123f1268af1c5f0",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2007-11-16T00:51:57Z",
    "title_canon_sha256": "d6d6aa96c8b16bf23372f7d543fcfea18131a1732ca92f3df91e5188635eebd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.2541",
    "kind": "arxiv",
    "version": 14
  }
}