Pith Number

pith:AEXF45XJ

pith:2018:AEXF45XJ6IUDEFLNGZ4B3WDUCR

not attested not anchored not stored refs pending

$\mathfrak{q}$-crystal structure on primed tableaux and on signed unimodal factorizations of reduced words of type $B$

Toya Hiroshima

arxiv:1803.05775 v4 · 2018-03-15 · 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{AEXF45XJ6IUDEFLNGZ4B3WDUCR}

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	2026-05-17T23:44:32.700928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

012e5e76e9f22832156d36781dd874144d0ff796aa0dce657c50f75ceaa34661

Aliases

arxiv: 1803.05775 · arxiv_version: 1803.05775v4 · doi: 10.48550/arxiv.1803.05775 · pith_short_12: AEXF45XJ6IUD · pith_short_16: AEXF45XJ6IUDEFLN · pith_short_8: AEXF45XJ

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/AEXF45XJ6IUDEFLNGZ4B3WDUCR \
  | 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: 012e5e76e9f22832156d36781dd874144d0ff796aa0dce657c50f75ceaa34661

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9938437a18cb820682359e11b390b19ab26d49e9381837f485c1c037a5bb3993",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-15T14:25:55Z",
    "title_canon_sha256": "f6eecfd9eda22a459a70cadbb0affb15139f9ba64271167ef9c4844cb1ad65b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.05775",
    "kind": "arxiv",
    "version": 4
  }
}