Pith Number

pith:PH6SZVDK

pith:2019:PH6SZVDKWI52EMLFB33NNYXO5U

not attested not anchored not stored refs pending

Colored five-vertex models and Demazure atoms

Ben Brubaker, Daniel Bump, Henrik P. A. Gustafsson, Valentin Buciumas

arxiv:1902.01795 v3 · 2019-02-05 · 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{PH6SZVDKWI52EMLFB33NNYXO5U}

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

Colored five-vertex models and Lascoux polynomials and atoms

Receipt and verification

First computed	2026-07-05T00:49:07.166758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79fd2cd46ab23ba231650ef6d6e2eeed1ed7998a6f5b835da92829fa27e8d169

Aliases

arxiv: 1902.01795 · arxiv_version: 1902.01795v3 · doi: 10.48550/arxiv.1902.01795 · pith_short_12: PH6SZVDKWI52 · pith_short_16: PH6SZVDKWI52EMLF · pith_short_8: PH6SZVDK

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/PH6SZVDKWI52EMLFB33NNYXO5U \
  | 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: 79fd2cd46ab23ba231650ef6d6e2eeed1ed7998a6f5b835da92829fa27e8d169

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "129e82e7cd7997ab3a8bf5fdda0d2bedac5c7cf7348310bfadb2175b548bc90d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-02-05T17:08:01Z",
    "title_canon_sha256": "b32f4f071653ca11f5b504331813f8dc025539c8e49ca0df2d801464f573382d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.01795",
    "kind": "arxiv",
    "version": 3
  }
}