Pith Number

pith:C7I6E6D7

pith:2008:C7I6E6D77OOMIVS3NQU3UAMU64

not attested not anchored not stored refs pending

Cluster algebras and Grassmannians of type G2

Sachin Gautam

arxiv:0807.4252 v2 · 2008-07-26 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C7I6E6D77OOMIVS3NQU3UAMU64}

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	2026-05-18T04:27:45.841912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17d1e2787ffb9cc4565b6c29ba0194f701d0d5aeff3c12a87c8f5c2143395eff

Aliases

arxiv: 0807.4252 · arxiv_version: 0807.4252v2 · doi: 10.48550/arxiv.0807.4252 · pith_short_12: C7I6E6D77OOM · pith_short_16: C7I6E6D77OOMIVS3 · pith_short_8: C7I6E6D7

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/C7I6E6D77OOMIVS3NQU3UAMU64 \
  | 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: 17d1e2787ffb9cc4565b6c29ba0194f701d0d5aeff3c12a87c8f5c2143395eff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1c978fa5d77ca97740ba742fb084749a351a358afff58117d95d93c7bcb7d73",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2008-07-26T19:33:17Z",
    "title_canon_sha256": "f2a154cecaa1b21d94012971805440d1d0020d9a9201d111ebb6fa46414783a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.4252",
    "kind": "arxiv",
    "version": 2
  }
}