Pith Number

pith:X3FSE6CV

pith:2025:X3FSE6CVRCYVQASA2R5RB2CV4C

not attested not anchored not stored refs pending

The double shuffle Lie algebra injects into the Kashiwara-Vergne Lie algebra

Leila Schneps

arxiv:2504.14293 v1 · 2025-04-19 · 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{X3FSE6CVRCYVQASA2R5RB2CV4C}

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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

Brunnian braids and the inclusion from double shuffle Lie algebra to Kashiwara-Vergne Lie algebra

Receipt and verification

First computed	2026-07-05T10:51:41.308777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

becb22785588b1580240d47b10e855e094dcca81ee91483e4601807f86f602c2

Aliases

arxiv: 2504.14293 · arxiv_version: 2504.14293v1 · doi: 10.48550/arxiv.2504.14293 · pith_short_12: X3FSE6CVRCYV · pith_short_16: X3FSE6CVRCYVQASA · pith_short_8: X3FSE6CV

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/X3FSE6CVRCYVQASA2R5RB2CV4C \
  | 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: becb22785588b1580240d47b10e855e094dcca81ee91483e4601807f86f602c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dae85c05c296b0cdc6c82bd173d70e0b9d374c1209a95d8d6f208c816ce755c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2025-04-19T13:39:05Z",
    "title_canon_sha256": "680a165724764c302b774ed5a054cc2cbd09f0f7eb7e332fd989d916092e0912"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.14293",
    "kind": "arxiv",
    "version": 1
  }
}