Pith Number

pith:IZ6MJQDU

pith:2013:IZ6MJQDUJOLUO6ACFEWV54RFBH

not attested not anchored not stored refs pending

Asymptotic geometry in higher products of rank one Hadamard spaces

Gabriele Link

arxiv:1308.5584 v1 · 2013-08-26 · 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{IZ6MJQDUJOLUO6ACFEWV54RFBH}

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	2026-05-18T03:15:04.072401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

467cc4c0744b97477802292d5ef22509d709beff27c52daa55107f5467bef279

Aliases

arxiv: 1308.5584 · arxiv_version: 1308.5584v1 · doi: 10.48550/arxiv.1308.5584 · pith_short_12: IZ6MJQDUJOLU · pith_short_16: IZ6MJQDUJOLUO6AC · pith_short_8: IZ6MJQDU

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/IZ6MJQDUJOLUO6ACFEWV54RFBH \
  | 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: 467cc4c0744b97477802292d5ef22509d709beff27c52daa55107f5467bef279

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fc189ded27dfaa6a4cbd1a85f63c3ec8646a8b25a32177744fc64fdf2257074",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-08-26T13:40:13Z",
    "title_canon_sha256": "ceaf6a5909f19fd464a42867ea2cdafa15f725b2e9486280aba803eb8e5f4199"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5584",
    "kind": "arxiv",
    "version": 1
  }
}