Pith Number

pith:N2EMWFBM

pith:2016:N2EMWFBMCLAZ6KC2OWN72BSSQM

not attested not anchored not stored refs pending

Hopf algebras of rooted forests, cocyles and free Rota-Baxter algebras

Li Guo, Tianjie Zhang, Xing Gao

arxiv:1605.09531 v1 · 2016-05-31 · math-ph · math.CO · math.MP · 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{N2EMWFBMCLAZ6KC2OWN72BSSQM}

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	2026-05-18T00:27:53.276372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e88cb142c12c19f285a759bfd06528321ee887316dea291919c7790e040d023

Aliases

arxiv: 1605.09531 · arxiv_version: 1605.09531v1 · doi: 10.48550/arxiv.1605.09531 · pith_short_12: N2EMWFBMCLAZ · pith_short_16: N2EMWFBMCLAZ6KC2 · pith_short_8: N2EMWFBM

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/N2EMWFBMCLAZ6KC2OWN72BSSQM \
  | 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: 6e88cb142c12c19f285a759bfd06528321ee887316dea291919c7790e040d023

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "881e1198c25ceb639539cc6a390ca03c7972b70175a698de8d9a4fd1a6389497",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-05-31T08:58:34Z",
    "title_canon_sha256": "01b99e9d39d9291fb4a80277d0d2000b749314a7dc5d793f02e0db48a91ca65b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09531",
    "kind": "arxiv",
    "version": 1
  }
}