Pith Number

pith:DN3IUMYG

pith:2019:DN3IUMYGNHRBPJKAZXY7X7FFOO

not attested not anchored not stored refs pending

Kazhdan-Lusztig R-polynomials for pircons

Mario Marietti

arxiv:1907.00858 v1 · 2019-07-01 · math.CO · 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{DN3IUMYGNHRBPJKAZXY7X7FFOO}

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	2026-05-17T23:41:47.855732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b768a330669e217a540cdf1fbfca573860be9196fb9e7bd28002dda1f2f2906

Aliases

arxiv: 1907.00858 · arxiv_version: 1907.00858v1 · doi: 10.48550/arxiv.1907.00858 · pith_short_12: DN3IUMYGNHRB · pith_short_16: DN3IUMYGNHRBPJKA · pith_short_8: DN3IUMYG

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/DN3IUMYGNHRBPJKAZXY7X7FFOO \
  | 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: 1b768a330669e217a540cdf1fbfca573860be9196fb9e7bd28002dda1f2f2906

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38f1eda177ea5eb820b8072d305dc1776e1fb507f1576bfb830a0d156656da2d",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-01T15:22:06Z",
    "title_canon_sha256": "bf034d23646d66a0b98340038614519f27cb9c249ae9b41851f43e8909c0df21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00858",
    "kind": "arxiv",
    "version": 1
  }
}