Pith Number

pith:7XZQMOI7

pith:2003:7XZQMOI7IIUHCIKWVRVHBEMSCR

not attested not anchored not stored refs pending

Grassmannians and Cluster Algebras

Joshua S. Scott

arxiv:math/0311148 v1 · 2003-11-10 · 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{7XZQMOI7IIUHCIKWVRVHBEMSCR}

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.

Cited by

1 paper in Pith

Classical correlation functions at strong coupling from hexagonalization

Receipt and verification

First computed	2026-07-04T14:37:58.868931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdf306391f4228712156ac6a709192147f33f05e66f9c80600fdac78f39e1962

Aliases

arxiv: math/0311148 · arxiv_version: math/0311148v1 · doi: 10.48550/arxiv.math/0311148 · pith_short_12: 7XZQMOI7IIUH · pith_short_16: 7XZQMOI7IIUHCIKW · pith_short_8: 7XZQMOI7

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/7XZQMOI7IIUHCIKWVRVHBEMSCR \
  | 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: fdf306391f4228712156ac6a709192147f33f05e66f9c80600fdac78f39e1962

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0efc17de5c1f05bb65a8d1cec76f6d2d7aee92d8cb64321c91fb906b2ed99438",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2003-11-10T17:36:18Z",
    "title_canon_sha256": "684fe0f702d7556f08b072b63d53884af4afa4718f4d1399e9e976f4d661c316"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311148",
    "kind": "arxiv",
    "version": 1
  }
}