Pith Number

pith:CJHC56ZQ

pith:2014:CJHC56ZQGVQ4FB44ZFR5U4VIVK

not attested not anchored not stored refs pending

The Kazhdan-Lusztig polynomial of a matroid

Ben Elias, Max Wakefield, Nicholas Proudfoot

arxiv:1412.7408 v3 · 2014-12-23 · math.CO · math.AG · 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{CJHC56ZQGVQ4FB44ZFR5U4VIVK}

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	2026-05-18T01:11:38.796001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

124e2efb303561c2879cc963da72a8aa8e8d6da2458eaabc51de51c71383674f

Aliases

arxiv: 1412.7408 · arxiv_version: 1412.7408v3 · doi: 10.48550/arxiv.1412.7408 · pith_short_12: CJHC56ZQGVQ4 · pith_short_16: CJHC56ZQGVQ4FB44 · pith_short_8: CJHC56ZQ

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/CJHC56ZQGVQ4FB44ZFR5U4VIVK \
  | 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: 124e2efb303561c2879cc963da72a8aa8e8d6da2458eaabc51de51c71383674f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b92acfdf0257bb65c2ead2ffbe4f03284960f56024bbaab12d0a08ae4b0a1d22",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-23T15:40:44Z",
    "title_canon_sha256": "3150b26e6ab49d19c3aa644a561816233182a78c292d93e65a383bedaee1dd87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7408",
    "kind": "arxiv",
    "version": 3
  }
}