Pith Number

pith:VRW5CZ6T

pith:2024:VRW5CZ6TZJ2YIKZJ7FS4GP7C53

not attested not anchored not stored refs pending

Demazure product and hopping in type D

Benjamin Keller, Darren Han, Jerry Zhang, Michelle Huang, Suho Oh

arxiv:2411.18584 v2 · 2024-11-27 · 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{VRW5CZ6TZJ2YIKZJ7FS4GP7C53}

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	2026-07-05T09:44:55.074876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac6dd167d3ca75842b29f965c33fe2eecfa2471165c6916c6108fcaaea7103e2

Aliases

arxiv: 2411.18584 · arxiv_version: 2411.18584v2 · doi: 10.48550/arxiv.2411.18584 · pith_short_12: VRW5CZ6TZJ2Y · pith_short_16: VRW5CZ6TZJ2YIKZJ · pith_short_8: VRW5CZ6T

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/VRW5CZ6TZJ2YIKZJ7FS4GP7C53 \
  | 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: ac6dd167d3ca75842b29f965c33fe2eecfa2471165c6916c6108fcaaea7103e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c7dfc1064650b0b8cdfca50e26b6bdcf2e34d6c291145cb4f2ef2d71a6b4185",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-27T18:27:23Z",
    "title_canon_sha256": "e953180489861bef9eca4f7de8271e7dc84d5a5390b1a4d6004a159e2d84b957"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.18584",
    "kind": "arxiv",
    "version": 2
  }
}