Pith Number

pith:4SS6FDWA

pith:2010:4SS6FDWAFQUPWMHPYC3RAZIE3X

not attested not anchored not stored refs pending

A short note on 2-step nilpotent Lie algebras associated with graphs

Meera G. Mainkar

arxiv:1010.4005 v2 · 2010-10-19 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4SS6FDWAFQUPWMHPYC3RAZIE3X}

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	2026-05-18T03:10:37.705035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4a5e28ec02c28fb30efc0b7106504ddc09d74e378d42bf972df1f3a32aa2ef2

Aliases

arxiv: 1010.4005 · arxiv_version: 1010.4005v2 · doi: 10.48550/arxiv.1010.4005 · pith_short_12: 4SS6FDWAFQUP · pith_short_16: 4SS6FDWAFQUPWMHP · pith_short_8: 4SS6FDWA

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/4SS6FDWAFQUPWMHPYC3RAZIE3X \
  | 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: e4a5e28ec02c28fb30efc0b7106504ddc09d74e378d42bf972df1f3a32aa2ef2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf2681a91bd27168ed28b9a2f7e6e9f026a02841f0747d8d0f6fdc8538d90bdb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-10-19T18:47:16Z",
    "title_canon_sha256": "4bc7be9d1fcf65e8d4ea0efa4a84b7b39f6b68a140c7f2d0bfe03758f72c39b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4005",
    "kind": "arxiv",
    "version": 2
  }
}