Pith Number

pith:GH5IUMVN

pith:2017:GH5IUMVN3FE4OMLHOWALK4D4S4

not attested not anchored not stored refs pending

Hall-Littlewood polynomials and a Hecke action on ordered set partitions

Brendon Rhoades, Jia Huang, Travis Scrimshaw

arxiv:1709.07995 v3 · 2017-09-23 · 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{GH5IUMVN3FE4OMLHOWALK4D4S4}

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	2026-05-17T23:52:55.987093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31fa8a32add949c731677580b5707c97199df2c10719769ea7a162897cf51121

Aliases

arxiv: 1709.07995 · arxiv_version: 1709.07995v3 · doi: 10.48550/arxiv.1709.07995 · pith_short_12: GH5IUMVN3FE4 · pith_short_16: GH5IUMVN3FE4OMLH · pith_short_8: GH5IUMVN

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/GH5IUMVN3FE4OMLHOWALK4D4S4 \
  | 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: 31fa8a32add949c731677580b5707c97199df2c10719769ea7a162897cf51121

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fadf0d403f481eacd3100e9d837fa3b41948ecbe3822eadf44bc2f849a81034",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-23T03:34:50Z",
    "title_canon_sha256": "857abcc0fce27c4ac0a3ce726a09adc19edc56300a51b146f626c21a6868cdcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07995",
    "kind": "arxiv",
    "version": 3
  }
}