Pith Number

pith:XL6A5YTC

pith:2013:XL6A5YTCOZLX6AIBTYOK3NLF7S

not attested not anchored not stored refs pending

On the cohomology of real Grassmann manifolds

Luis Casian, Yuji Kodama

arxiv:1309.5520 v1 · 2013-09-21 · math.AG · math.AT · math.CO · math.RT · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XL6A5YTCOZLX6AIBTYOK3NLF7S}

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	2026-05-18T03:12:36.074337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bafc0ee26276577f01019e1cadb565fc85b45c3b321a9ea5c0a10b935fb63c6c

Aliases

arxiv: 1309.5520 · arxiv_version: 1309.5520v1 · doi: 10.48550/arxiv.1309.5520 · pith_short_12: XL6A5YTCOZLX · pith_short_16: XL6A5YTCOZLX6AIB · pith_short_8: XL6A5YTC

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/XL6A5YTCOZLX6AIBTYOK3NLF7S \
  | 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: bafc0ee26276577f01019e1cadb565fc85b45c3b321a9ea5c0a10b935fb63c6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dca9b940fc373fd63250cc43fb8917d508cff9d029a16d476ee2103e0dee8bf",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO",
      "math.RT",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-09-21T19:20:43Z",
    "title_canon_sha256": "ba997e0b2f2cd02f70bf8d200cebfba733df2683d08f32cd50310071119f461a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5520",
    "kind": "arxiv",
    "version": 1
  }
}