Pith Number

pith:MZSXWGVJ

pith:2012:MZSXWGVJ4WSX7SNNJGWAE2RKOQ

not attested not anchored not stored refs pending

Lattices in some Symplectic or Affine Nilpotent Lie groups

Alberto Medina, Philippe Revoy

arxiv:1208.2544 v2 · 2012-08-13 · 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{MZSXWGVJ4WSX7SNNJGWAE2RKOQ}

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	2026-05-18T03:12:46.506531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66657b1aa9e5a57fc9ad49ac026a2a74158f24abcf0d9375035a29f0244471bd

Aliases

arxiv: 1208.2544 · arxiv_version: 1208.2544v2 · doi: 10.48550/arxiv.1208.2544 · pith_short_12: MZSXWGVJ4WSX · pith_short_16: MZSXWGVJ4WSX7SNN · pith_short_8: MZSXWGVJ

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/MZSXWGVJ4WSX7SNNJGWAE2RKOQ \
  | 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: 66657b1aa9e5a57fc9ad49ac026a2a74158f24abcf0d9375035a29f0244471bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef6e234d5332af41986de036a127da6382a88aafc4f2f471d55856827f687cbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-08-13T11:04:50Z",
    "title_canon_sha256": "666fb20e175229673ef7daa79292262af1f4b9a6880449ff8f8896d69ce34434"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2544",
    "kind": "arxiv",
    "version": 2
  }
}