Pith Number

pith:P7WIYB5F

pith:2017:P7WIYB5FB7QXYCMJLWDAN4P6FA

not attested not anchored not stored refs pending

Braid group symmetries of Grassmannian cluster algebras

Chris Fraser

arxiv:1702.00385 v3 · 2017-02-01 · math.CO · math.GR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P7WIYB5FB7QXYCMJLWDAN4P6FA}

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	2026-05-18T00:08:00.946307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fec8c07a50fe17c09895d8606f1fe281cf9dee9c6e114c1fc0c33eb4adae321

Aliases

arxiv: 1702.00385 · arxiv_version: 1702.00385v3 · doi: 10.48550/arxiv.1702.00385 · pith_short_12: P7WIYB5FB7QX · pith_short_16: P7WIYB5FB7QXYCMJ · pith_short_8: P7WIYB5F

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/P7WIYB5FB7QXYCMJLWDAN4P6FA \
  | 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: 7fec8c07a50fe17c09895d8606f1fe281cf9dee9c6e114c1fc0c33eb4adae321

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4031db7224a9b5774a438fe61a7e126b957d80e855f473368f190d456bf52b75",
    "cross_cats_sorted": [
      "math.GR",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-01T18:25:52Z",
    "title_canon_sha256": "94f6fac58d6b3e1c1c4ed1d03cae174d4dd7dba74b09bb41b6172101fafc8f21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.00385",
    "kind": "arxiv",
    "version": 3
  }
}