Pith Number

pith:K57W47XA

pith:2021:K57W47XAVNPXZK4ARWBT3ARDER

not attested not anchored not stored refs pending

Towards combinatorial invariance for Kazhdan-Lusztig polynomials

Alex Davies, Charles Blundell, Geordie Williamson, Lars Buesing, Petar Veli\v{c}kovi\'c

arxiv:2111.15161 v1 · 2021-11-30 · 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{K57W47XAVNPXZK4ARWBT3ARDER}

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

Big data approach to Kazhdan-Lusztig polynomials

Receipt and verification

First computed	2026-07-05T06:47:11.507324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

577f6e7ee0ab5f7cab808d833d82232457ccee95ab9bce8a0ae223fdf6557861

Aliases

arxiv: 2111.15161 · arxiv_version: 2111.15161v1 · doi: 10.48550/arxiv.2111.15161 · pith_short_12: K57W47XAVNPX · pith_short_16: K57W47XAVNPXZK4A · pith_short_8: K57W47XA

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/K57W47XAVNPXZK4ARWBT3ARDER \
  | 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: 577f6e7ee0ab5f7cab808d833d82232457ccee95ab9bce8a0ae223fdf6557861

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9229e17f43f2d03520b09a38112bc63cb62b70229ef1d36c1fcf8b90e39b9ad",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2021-11-30T06:35:39Z",
    "title_canon_sha256": "c1c5f9be47ad41e697cad0e4a2960ae8c48364dad89b89c5beb16895b8db4f90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.15161",
    "kind": "arxiv",
    "version": 1
  }
}