Pith Number

pith:6JLRHU3P

pith:2016:6JLRHU3PZX3MQXOOHSJ5THKV3K

not attested not anchored not stored refs pending

Poisson enveloping algebras and the Poincar\'e-Birkhoff-Witt theorem

Cyrille Ospel, Pol Vanhaecke, Thierry Lambre

arxiv:1601.01528 v2 · 2016-01-07 · 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{6JLRHU3PZX3MQXOOHSJ5THKV3K}

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	2026-05-18T00:45:16.370254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f25713d36fcdf6c85dce3c93d99d55daa2823ec9c3107af12c6318362365b29c

Aliases

arxiv: 1601.01528 · arxiv_version: 1601.01528v2 · doi: 10.48550/arxiv.1601.01528 · pith_short_12: 6JLRHU3PZX3M · pith_short_16: 6JLRHU3PZX3MQXOO · pith_short_8: 6JLRHU3P

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/6JLRHU3PZX3MQXOOHSJ5THKV3K \
  | 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: f25713d36fcdf6c85dce3c93d99d55daa2823ec9c3107af12c6318362365b29c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a49808d05090cb3dad672e1831a645a2f2df4d3b6257131dd4ff66e8219db30c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-01-07T13:20:19Z",
    "title_canon_sha256": "d6707d09e30bf2f7247f80dfc0d6edcf46449643c7da179ebc921ca6f5ab639c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01528",
    "kind": "arxiv",
    "version": 2
  }
}