Pith Number

pith:4C3SCDLJ

pith:2016:4C3SCDLJMVXNLRHI4XSJPZJPN7

not attested not anchored not stored refs pending

A stabilizer interpretation of double shuffle Lie algebras

Benjamin Enriquez, Hidekazu Furusho

arxiv:1605.02838 v5 · 2016-05-10 · math.QA · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4C3SCDLJMVXNLRHI4XSJPZJPN7}

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	2026-05-18T00:29:46.953601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0b7210d69656ed5c4e8e5e497e52f6fce595d8fbd814e16915963d36cc19140

Aliases

arxiv: 1605.02838 · arxiv_version: 1605.02838v5 · doi: 10.48550/arxiv.1605.02838 · pith_short_12: 4C3SCDLJMVXN · pith_short_16: 4C3SCDLJMVXNLRHI · pith_short_8: 4C3SCDLJ

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/4C3SCDLJMVXNLRHI4XSJPZJPN7 \
  | 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: e0b7210d69656ed5c4e8e5e497e52f6fce595d8fbd814e16915963d36cc19140

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bec0e241220607f13e3d5f51615314a8e19cf25dcab68ef4537a254ea4f1996",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-05-10T04:09:25Z",
    "title_canon_sha256": "7ced186ad02666e50acf9a82f71a2952c787e70b1c87f65c43ca3482b43a49ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02838",
    "kind": "arxiv",
    "version": 5
  }
}