Pith Number

pith:NNLU4TL3

pith:2014:NNLU4TL3ELMBUHGZEY4L5OJQQR

not attested not anchored not stored refs pending

Cluster Algebras of Grassmannians are Locally Acyclic

David E. Speyer, Greg Muller

arxiv:1401.5137 v4 · 2014-01-21 · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NNLU4TL3ELMBUHGZEY4L5OJQQR}

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	2026-05-18T01:41:58.780205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b574e4d7b22d81a1cd92638beb930844d5f98cb6879c4601752b7dff8f0f29a

Aliases

arxiv: 1401.5137 · arxiv_version: 1401.5137v4 · doi: 10.48550/arxiv.1401.5137 · pith_short_12: NNLU4TL3ELMB · pith_short_16: NNLU4TL3ELMBUHGZ · pith_short_8: NNLU4TL3

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/NNLU4TL3ELMBUHGZEY4L5OJQQR \
  | 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: 6b574e4d7b22d81a1cd92638beb930844d5f98cb6879c4601752b7dff8f0f29a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac76a794094bedbba156a249c04d6e67c9b2c6317a18f4e5797238679ba04c1a",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-01-21T01:19:19Z",
    "title_canon_sha256": "66d1095fb3ff1430fd5406089aa1dd5b6c4dbe3eb3e90d701c8899c86c9ead27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5137",
    "kind": "arxiv",
    "version": 4
  }
}