Pith Number

pith:E3LFOGBD

pith:2018:E3LFOGBDZVXPPYWBQZKRRA2EBT

not attested not anchored not stored refs pending

Hall-Littlewood expansions of Schur delta operators at $t = 0$

Brendon Rhoades, James Haglund, Mark Shimozono

arxiv:1801.08017 v1 · 2018-01-24 · 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{E3LFOGBDZVXPPYWBQZKRRA2EBT}

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	2026-05-18T00:25:10.321631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26d6571823cd6ef7e2c186551883440ccc884227ae8703a784881ce3d7e9cd70

Aliases

arxiv: 1801.08017 · arxiv_version: 1801.08017v1 · doi: 10.48550/arxiv.1801.08017 · pith_short_12: E3LFOGBDZVXP · pith_short_16: E3LFOGBDZVXPPYWB · pith_short_8: E3LFOGBD

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/E3LFOGBDZVXPPYWBQZKRRA2EBT \
  | 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: 26d6571823cd6ef7e2c186551883440ccc884227ae8703a784881ce3d7e9cd70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed5b59e8e8b5418ae68c420140f62e2e6cf9f16b314cc5204f312ca9f7087695",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-24T15:20:12Z",
    "title_canon_sha256": "6a03c6505ca2309191ddebb8f61641d0280f661af0c78a54dad546fc598a3ec9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08017",
    "kind": "arxiv",
    "version": 1
  }
}