Pith Number

pith:L6G6PBHH

pith:2010:L6G6PBHHJYXAURET2UKTVALFQM

not attested not anchored not stored refs pending

Pre-Lie algebras in positive characteristic

Ioannis Dokas

arxiv:1011.4217 v2 · 2010-11-18 · 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{L6G6PBHHJYXAURET2UKTVALFQM}

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	2026-05-18T03:40:03.567570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f8de784e74e2e0a4493d5153a81658320c563de7e406e1a8ed597b528f11449

Aliases

arxiv: 1011.4217 · arxiv_version: 1011.4217v2 · doi: 10.48550/arxiv.1011.4217 · pith_short_12: L6G6PBHHJYXA · pith_short_16: L6G6PBHHJYXAURET · pith_short_8: L6G6PBHH

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/L6G6PBHHJYXAURET2UKTVALFQM \
  | 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: 5f8de784e74e2e0a4493d5153a81658320c563de7e406e1a8ed597b528f11449

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f85353c04ad09142881442b6fbfc93f0b699d9798d018f6c4b20ea248fe4203b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-11-18T15:57:54Z",
    "title_canon_sha256": "4c2d4fb4608256e6875a89c4c0f6033b318cd0ea097fc29077cd4375471df34a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4217",
    "kind": "arxiv",
    "version": 2
  }
}