Pith Number

pith:X7DY3ZIK

pith:2011:X7DY3ZIK7BOXZCA6G6NCJZ2RGZ

not attested not anchored not stored refs pending

Row-strict quasisymmetric Schur functions

Jeffrey Remmel, Sarah Mason

arxiv:1110.4014 v1 · 2011-10-18 · 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{X7DY3ZIK7BOXZCA6G6NCJZ2RGZ}

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	2026-05-18T04:10:47.497312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfc78de50af85d7c881e379a24e7513653e9fad1022357df667129766e5c51b2

Aliases

arxiv: 1110.4014 · arxiv_version: 1110.4014v1 · doi: 10.48550/arxiv.1110.4014 · pith_short_12: X7DY3ZIK7BOX · pith_short_16: X7DY3ZIK7BOXZCA6 · pith_short_8: X7DY3ZIK

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/X7DY3ZIK7BOXZCA6G6NCJZ2RGZ \
  | 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: bfc78de50af85d7c881e379a24e7513653e9fad1022357df667129766e5c51b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dc4b97586498cc40612e8f949c9aaa67698e78c01ad6c88a40a3c3e3044a3bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-18T15:07:06Z",
    "title_canon_sha256": "61483410fb7e5df1a0f6971428fdc483177cf1652e9e800379445142fb90a327"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4014",
    "kind": "arxiv",
    "version": 1
  }
}