Pith Number

pith:UM7XI6KV

pith:2011:UM7XI6KVVIBJZO2I22AJS24EUN

not attested not anchored not stored refs pending

Pre-Lie systems and obstruction to A_infty-structures over a ring

Muriel Livernet (LAGA)

arxiv:1110.2347 v1 · 2011-10-11 · 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{UM7XI6KVVIBJZO2I22AJS24EUN}

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	2026-05-18T04:11:16.973654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a33f747955aa029cbb48d680996b84a3457a26ee03979269f29a1397d2bd9d78

Aliases

arxiv: 1110.2347 · arxiv_version: 1110.2347v1 · doi: 10.48550/arxiv.1110.2347 · pith_short_12: UM7XI6KVVIBJ · pith_short_16: UM7XI6KVVIBJZO2I · pith_short_8: UM7XI6KV

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/UM7XI6KVVIBJZO2I22AJS24EUN \
  | 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: a33f747955aa029cbb48d680996b84a3457a26ee03979269f29a1397d2bd9d78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfc2ed997361dd132787a2e4224744702dcf3d97aaed0a1ee6cf5c73e12d995e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-10-11T12:29:52Z",
    "title_canon_sha256": "ca3dfe246dfdff9b41fb4a1e4850c661894b3b494a15b5b65bfbe57a52a26202"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2347",
    "kind": "arxiv",
    "version": 1
  }
}