Pith Number

pith:4B2CFKN5

pith:2015:4B2CFKN5YAYKSYWPAQI7VHW5OB

not attested not anchored not stored refs pending

Symplectic structures on 2-step nilpotent Lie algebras

Elisabeth Remm, Michel Goze

arxiv:1510.08212 v1 · 2015-10-28 · math.SG · 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{4B2CFKN5YAYKSYWPAQI7VHW5OB}

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	2026-05-18T01:25:56.748049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e07422a9bdc030a962cf0411fa9edd704f13c30ed2f0c187146a4c75da7c314c

Aliases

arxiv: 1510.08212 · arxiv_version: 1510.08212v1 · doi: 10.48550/arxiv.1510.08212 · pith_short_12: 4B2CFKN5YAYK · pith_short_16: 4B2CFKN5YAYKSYWP · pith_short_8: 4B2CFKN5

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/4B2CFKN5YAYKSYWPAQI7VHW5OB \
  | 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: e07422a9bdc030a962cf0411fa9edd704f13c30ed2f0c187146a4c75da7c314c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfae2238f6b5701c3144b36a3f8a94d5086b888a08a066cfcbb1cdf1e0e243f0",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-10-28T07:07:10Z",
    "title_canon_sha256": "e60908d5ab649c0b55c4218e51bbb07ee2c230a8ae2f6b00dcba4423a65f4063"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08212",
    "kind": "arxiv",
    "version": 1
  }
}