Pith Number

pith:ACXE5HLV

pith:2013:ACXE5HLVG2SHDY4P6CVU6V2LXA

not attested not anchored not stored refs pending

Rigidity of lattices and syndetic hulls in solvable Lie groups

Oliver Ungermann

arxiv:1311.7426 v2 · 2013-11-28 · 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{ACXE5HLVG2SHDY4P6CVU6V2LXA}

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	2026-05-18T03:05:37.221890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00ae4e9d7536a471e38ff0ab4f574bb82ae3b212b733b292b48598c4706c3950

Aliases

arxiv: 1311.7426 · arxiv_version: 1311.7426v2 · doi: 10.48550/arxiv.1311.7426 · pith_short_12: ACXE5HLVG2SH · pith_short_16: ACXE5HLVG2SHDY4P · pith_short_8: ACXE5HLV

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/ACXE5HLVG2SHDY4P6CVU6V2LXA \
  | 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: 00ae4e9d7536a471e38ff0ab4f574bb82ae3b212b733b292b48598c4706c3950

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96b24788d77cf6fb3c286400203af66361e3c26f9d27af070fe41fb84be22774",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-11-28T21:09:41Z",
    "title_canon_sha256": "fe29bf08b4ba52e7cb36333aae8d5a93f31ebe690eb3b294de455d2688443308"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7426",
    "kind": "arxiv",
    "version": 2
  }
}