Pith Number

pith:VWTWS375

pith:2019:VWTWS3754EJMFGIK4BPGRJU5O6

not attested not anchored not stored refs pending

Total positivity is a quantum phenomenon: the grassmannian case

Brendan Nolan, St\'ephane Launois, Tom Lenagan

arxiv:1906.06199 v1 · 2019-06-14 · math.QA · math.CO · math.RA · 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{VWTWS3754EJMFGIK4BPGRJU5O6}

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	2026-05-17T23:43:19.392683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ada7696ffde112c2990ae05e68a69d77be2f0bce4835343d4df9654d645c1aa9

Aliases

arxiv: 1906.06199 · arxiv_version: 1906.06199v1 · doi: 10.48550/arxiv.1906.06199 · pith_short_12: VWTWS3754EJM · pith_short_16: VWTWS3754EJMFGIK · pith_short_8: VWTWS375

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/VWTWS3754EJMFGIK4BPGRJU5O6 \
  | 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: ada7696ffde112c2990ae05e68a69d77be2f0bce4835343d4df9654d645c1aa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7f2d63d489f601eb7065d8e2fd39a293d492bb5f1c53266f6ae45574a1d0dd0",
    "cross_cats_sorted": [
      "math.CO",
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2019-06-14T13:38:26Z",
    "title_canon_sha256": "834cea0954c95cbd72c6be823f129f35184837594b9a7b438ae47988a992ee51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.06199",
    "kind": "arxiv",
    "version": 1
  }
}