Pith Number

pith:LAAN54DK

pith:2008:LAAN54DKG62YOQF7MO53QYY3E7

not attested not anchored not stored refs pending

Asymptotic Geometry in the product of Hadamard spaces with rank one isometries

Gabriele Link

arxiv:0812.1890 v2 · 2008-12-10 · math.MG · 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{LAAN54DKG62YOQF7MO53QYY3E7}

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	2026-05-18T02:38:18.964570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5800def06a37b58740bf63bbb8631b27e9ebd9600e1270a300484bcdb6b853fe

Aliases

arxiv: 0812.1890 · arxiv_version: 0812.1890v2 · doi: 10.48550/arxiv.0812.1890 · pith_short_12: LAAN54DKG62Y · pith_short_16: LAAN54DKG62YOQF7 · pith_short_8: LAAN54DK

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/LAAN54DKG62YOQF7MO53QYY3E7 \
  | 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: 5800def06a37b58740bf63bbb8631b27e9ebd9600e1270a300484bcdb6b853fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e3437d10f5bbf9ea482e022ed8bd5672f5cd9de9a136b61ed8273aefcf3e628",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2008-12-10T15:41:17Z",
    "title_canon_sha256": "e44c333c93d6a97b3164080d03f593a45dfc42393752aff49bd832b89e98e666"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.1890",
    "kind": "arxiv",
    "version": 2
  }
}