Pith Number

pith:DHK3EXCR

pith:2011:DHK3EXCRVPIDLR6PDZHKNSHLCR

not attested not anchored not stored refs pending

Symplectic Structures on Free Nilpotent Lie algebras

Viviana del Barco

arxiv:1111.3280 v1 · 2011-11-14 · math.DG · 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{DHK3EXCRVPIDLR6PDZHKNSHLCR}

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	2026-05-18T00:56:54.000776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19d5b25c51abd035c7cf1e4ea6c8eb14778b80eaf210db89c9e27dcb84d4f477

Aliases

arxiv: 1111.3280 · arxiv_version: 1111.3280v1 · doi: 10.48550/arxiv.1111.3280 · pith_short_12: DHK3EXCRVPID · pith_short_16: DHK3EXCRVPIDLR6P · pith_short_8: DHK3EXCR

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/DHK3EXCRVPIDLR6PDZHKNSHLCR \
  | 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: 19d5b25c51abd035c7cf1e4ea6c8eb14778b80eaf210db89c9e27dcb84d4f477

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3461ff70120b33f63dd93ea57321eb434b0a82d1f539b24c8a1a13053ba353b",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-11-14T16:58:50Z",
    "title_canon_sha256": "dbf1ad9fa26a82330691a94ccde2e64f28f64aabdf6c90116dba3bdd11b555a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3280",
    "kind": "arxiv",
    "version": 1
  }
}