Pith Number

pith:G6SOD3GG

pith:2017:G6SOD3GGBZOX4D4IDWHQL26REH

not attested not anchored not stored refs pending

Weak composition quasi-symmetric functions, Rota-Baxter algebras and Hopf algebras

Houyi Yu, Jean-Yves Thibon, Li Guo

arxiv:1702.08011 v1 · 2017-02-26 · math.CO · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G6SOD3GGBZOX4D4IDWHQL26REH}

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	2026-05-17T23:56:43.211511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37a4e1ecc60e5d7e0f881d8f05ebd121d0e4bdc84ca83ddfb3af06a12e772d13

Aliases

arxiv: 1702.08011 · arxiv_version: 1702.08011v1 · doi: 10.48550/arxiv.1702.08011 · pith_short_12: G6SOD3GGBZOX · pith_short_16: G6SOD3GGBZOX4D4I · pith_short_8: G6SOD3GG

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/G6SOD3GGBZOX4D4IDWHQL26REH \
  | 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: 37a4e1ecc60e5d7e0f881d8f05ebd121d0e4bdc84ca83ddfb3af06a12e772d13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94f10a26cc1c9c69a9948a1b7837f6355d111a0d62bed89e76a86292882d5be3",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-26T09:47:06Z",
    "title_canon_sha256": "baef82659a0a02e0a045fb37e85752cf3250b3c075e2472250404f2eed293548"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08011",
    "kind": "arxiv",
    "version": 1
  }
}