Pith Number

pith:PUGBAV27

pith:2018:PUGBAV277673QMWBGYRR4K32FL

not attested not anchored not stored refs pending

The Kazhdan-Lusztig polynomials of uniform matroids

Alice L.L. Gao, Arthur L.B. Yang, Linyuan Lu, Matthew H.Y. Xie, Philip B. Zhang

arxiv:1806.10852 v1 · 2018-06-28 · 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{PUGBAV277673QMWBGYRR4K32FL}

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	2026-05-18T00:12:07.758237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d0c10575fffbfb832c136231e2b7a2acc07e2d1f2a8642a3e19551548561036

Aliases

arxiv: 1806.10852 · arxiv_version: 1806.10852v1 · doi: 10.48550/arxiv.1806.10852 · pith_short_12: PUGBAV277673 · pith_short_16: PUGBAV277673QMWB · pith_short_8: PUGBAV27

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/PUGBAV277673QMWBGYRR4K32FL \
  | 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: 7d0c10575fffbfb832c136231e2b7a2acc07e2d1f2a8642a3e19551548561036

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ff3a2ec1d49b2564e03dfe5e27cd84b4cc7eb548a8cb02169a75c4d14ad03fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-28T09:44:15Z",
    "title_canon_sha256": "37039ccaa53e876f9261daecb099dc7599e1c45f92a07bf5a0d75d9d1df20ebb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10852",
    "kind": "arxiv",
    "version": 1
  }
}