Pith Number

pith:5M53I7QZ

pith:2019:5M53I7QZHEAIFN4VIZGVZWHBYY

not attested not anchored not stored refs pending

Commutative Lie algebras and commutative cohomology in characteristic $2$

Pasha Zusmanovich, Viktor Lopatkin

arxiv:1907.03690 v1 · 2019-07-08 · math.KT · 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{5M53I7QZHEAIFN4VIZGVZWHBYY}

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	2026-05-17T23:41:14.016913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb3bb47e19390082b795464d5cd8e1c61bb1342d48ab19940ff9a4aa8e13fdae

Aliases

arxiv: 1907.03690 · arxiv_version: 1907.03690v1 · doi: 10.48550/arxiv.1907.03690 · pith_short_12: 5M53I7QZHEAI · pith_short_16: 5M53I7QZHEAIFN4V · pith_short_8: 5M53I7QZ

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/5M53I7QZHEAIFN4VIZGVZWHBYY \
  | 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: eb3bb47e19390082b795464d5cd8e1c61bb1342d48ab19940ff9a4aa8e13fdae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28a97fcc6e9f9a5bfc3f1712598fed8f0ffcccc0e540ad940050a872a8f76cdb",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2019-07-08T15:52:31Z",
    "title_canon_sha256": "2a22639ff05eff997d9846a10488641aca50a2c495bdd913cbd2b4cfdc8bb024"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03690",
    "kind": "arxiv",
    "version": 1
  }
}