Pith Number

pith:ITZMPH4X

pith:2019:ITZMPH4XGODNAMNOFWTL53VZVC

not attested not anchored not stored refs pending

Homological properties of parafree Lie algebras

Anatoly Zaikovski, Roman Mikhailov, Sergei O. Ivanov

arxiv:1908.04608 v2 · 2019-08-13 · math.RA · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ITZMPH4XGODNAMNOFWTL53VZVC}

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	2026-07-05T01:18:15.681184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44f2c79f973386d031ae2da6beeeb9a890bd3b056ea7afb74b9fb5808abc8aa1

Aliases

arxiv: 1908.04608 · arxiv_version: 1908.04608v2 · doi: 10.48550/arxiv.1908.04608 · pith_short_12: ITZMPH4XGODN · pith_short_16: ITZMPH4XGODNAMNO · pith_short_8: ITZMPH4X

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/ITZMPH4XGODNAMNOFWTL53VZVC \
  | 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: 44f2c79f973386d031ae2da6beeeb9a890bd3b056ea7afb74b9fb5808abc8aa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38d0c227a3da766ba8d34be5dbeba4537d259f9f42f37fa738ad40f186ecbcf7",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-08-13T12:37:18Z",
    "title_canon_sha256": "59fc6e1f5ba50b3781e2bcdaad73f1846a9307c31046ecf768152e3dd083b78a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04608",
    "kind": "arxiv",
    "version": 2
  }
}