Pith Number

pith:ZI3E52ZX

pith:2011:ZI3E52ZXOSH5FGX6XC67YE65LP

not attested not anchored not stored refs pending

Asymptotic dimension and the disk graph I

Ursula Hamenstaedt

arxiv:1101.1843 v5 · 2011-01-10 · math.GT · 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{ZI3E52ZXOSH5FGX6XC67YE65LP}

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	2026-05-17T23:51:00.857572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca364eeb37748fd29afeb8bdfc13dd5bd5981bb238a99a4ed3a3fb5134a352af

Aliases

arxiv: 1101.1843 · arxiv_version: 1101.1843v5 · doi: 10.48550/arxiv.1101.1843 · pith_short_12: ZI3E52ZXOSH5 · pith_short_16: ZI3E52ZXOSH5FGX6 · pith_short_8: ZI3E52ZX

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/ZI3E52ZXOSH5FGX6XC67YE65LP \
  | 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: ca364eeb37748fd29afeb8bdfc13dd5bd5981bb238a99a4ed3a3fb5134a352af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64469aa96728bf184e512e38e1c01bffafde9a3b5a41cc4463f97162202cdeea",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-01-10T15:17:26Z",
    "title_canon_sha256": "a06b0bdbfb01fa10f1ee005a84a480c78a589b98c197a08698b3bb87126a023b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1843",
    "kind": "arxiv",
    "version": 5
  }
}