Pith Number

pith:4ECYBSEO

pith:2026:4ECYBSEOLXLEOUZSSOV6EHZQ7G

not attested not anchored not stored refs pending

On $q$-pre-Lie algebras

Chengyang Lu, Yanyong Hong

arxiv:2607.08389 v1 · 2026-07-09 · 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{4ECYBSEOLXLEOUZSSOV6EHZQ7G}

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	2026-07-10T01:19:48.785432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e10580c88e5dd647533293abe21f30f9975de97649b07a200b3f80b0b50632f2

Aliases

arxiv: 2607.08389 · arxiv_version: 2607.08389v1 · doi: 10.48550/arxiv.2607.08389 · pith_short_12: 4ECYBSEOLXLE · pith_short_16: 4ECYBSEOLXLEOUZS · pith_short_8: 4ECYBSEO

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/4ECYBSEOLXLEOUZSSOV6EHZQ7G \
  | 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: e10580c88e5dd647533293abe21f30f9975de97649b07a200b3f80b0b50632f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6baf30205742e6ad882cfec92451aca8d0604a6d9978a65db11f05b0a9d055cc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2026-07-09T12:12:15Z",
    "title_canon_sha256": "b43d3b5372496206d1d8154c8b9f4cfc65e4e526d403b52037639f1d22b8be00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08389",
    "kind": "arxiv",
    "version": 1
  }
}