Pith Number

pith:HERUV3ZN

pith:2011:HERUV3ZNODI2KYQZZVUQL33FKQ

not attested not anchored not stored refs pending

Deformations and rigidity of lattices in solvable Lie groups

Benjamin Klopsch, Oliver Baues

arxiv:1111.5589 v1 · 2011-11-23 · math.DG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HERUV3ZNODI2KYQZZVUQL33FKQ}

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	2026-05-18T02:57:54.057757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39234aef2d70d1a56219cd6905ef6554177a77961b0535a7fef1c5e293bfaef4

Aliases

arxiv: 1111.5589 · arxiv_version: 1111.5589v1 · doi: 10.48550/arxiv.1111.5589 · pith_short_12: HERUV3ZNODI2 · pith_short_16: HERUV3ZNODI2KYQZ · pith_short_8: HERUV3ZN

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/HERUV3ZNODI2KYQZZVUQL33FKQ \
  | 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: 39234aef2d70d1a56219cd6905ef6554177a77961b0535a7fef1c5e293bfaef4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97aecca75cbdae95b0a8e34379483949e56bb05beda8a043b288f0c19eb767c8",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-11-23T19:20:46Z",
    "title_canon_sha256": "33e03cc8d68ee85b9f0ed06d93d7bbcf7bd5496b703ec3e486db491a58ffbc74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5589",
    "kind": "arxiv",
    "version": 1
  }
}