Pith Number

pith:L7JZK4QX

pith:2011:L7JZK4QXJ2NFPVRENE3EPCKL2O

not attested not anchored not stored refs pending

Geometry and quasisymmetric parametrization of Semmes spaces

Jang-Mei Wu, Pekka Pankka

arxiv:1111.2197 v2 · 2011-11-09 · math.MG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L7JZK4QXJ2NFPVRENE3EPCKL2O}

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	2026-05-18T03:16:38.747800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fd39572174e9a57d624693647894bd3be9d5a563bd71be71aea9338651826ad

Aliases

arxiv: 1111.2197 · arxiv_version: 1111.2197v2 · doi: 10.48550/arxiv.1111.2197 · pith_short_12: L7JZK4QXJ2NF · pith_short_16: L7JZK4QXJ2NFPVRE · pith_short_8: L7JZK4QX

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/L7JZK4QXJ2NFPVRENE3EPCKL2O \
  | 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: 5fd39572174e9a57d624693647894bd3be9d5a563bd71be71aea9338651826ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98a08f96971e155fb90132d4428a292ae8e41e68cdc11aefd7385b491d1d4cbb",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-11-09T13:09:46Z",
    "title_canon_sha256": "987eca915936b1b00f629ee9c06126c28bb6c443794dff2496e9e12c76365011"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2197",
    "kind": "arxiv",
    "version": 2
  }
}