Pith Number

pith:UM7UHFC6

pith:2022:UM7UHFC6F7THBDHKFFZ45OIZDN

not attested not anchored not stored refs pending

Two-parameter sums signatures and corresponding quasisymmetric functions

Joscha Diehl, Leonard Schmitz

arxiv:2210.14247 v3 · 2022-10-25 · 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{UM7UHFC6F7THBDHKFFZ45OIZDN}

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

Tensor-to-Tensor Models with Fast Iterated Sum Features

Receipt and verification

First computed	2026-07-05T09:17:31.433196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a33f43945e2fe6708cea2973ceb9191b49ff2384acb3fbd11cdeb9058109d120

Aliases

arxiv: 2210.14247 · arxiv_version: 2210.14247v3 · doi: 10.48550/arxiv.2210.14247 · pith_short_12: UM7UHFC6F7TH · pith_short_16: UM7UHFC6F7THBDHK · pith_short_8: UM7UHFC6

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/UM7UHFC6F7THBDHKFFZ45OIZDN \
  | 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: a33f43945e2fe6708cea2973ceb9191b49ff2384acb3fbd11cdeb9058109d120

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a845343cffc698051fd38d5d55ef9569e7c75c9a0716e351a9943aaa342a17c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-10-25T18:00:51Z",
    "title_canon_sha256": "ebff9e69af025c526ff5af27fb7edca100ae9b7cab6cbc2a0fbba9b55c80397b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.14247",
    "kind": "arxiv",
    "version": 3
  }
}