Pith Number

pith:ERDPHYDK

pith:2017:ERDPHYDK7RN6OA6LPCL7BOUEQU

not attested not anchored not stored refs pending

A counterexample to gluing theorems for MCP metric measure spaces

Luca Rizzi

arxiv:1711.04499 v2 · 2017-11-13 · math.MG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ERDPHYDK7RN6OA6LPCL7BOUEQU}

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	2026-05-18T00:10:11.091439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2446f3e06afc5be703cb7897f0ba84851fe4a3d45fb58196b72da081edcd60e4

Aliases

arxiv: 1711.04499 · arxiv_version: 1711.04499v2 · doi: 10.48550/arxiv.1711.04499 · pith_short_12: ERDPHYDK7RN6 · pith_short_16: ERDPHYDK7RN6OA6L · pith_short_8: ERDPHYDK

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/ERDPHYDK7RN6OA6LPCL7BOUEQU \
  | 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: 2446f3e06afc5be703cb7897f0ba84851fe4a3d45fb58196b72da081edcd60e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d7fd8262d15cf6be964bafc41aca0a130a562040c723ad818e0910e2e4d4aeb",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-11-13T10:07:38Z",
    "title_canon_sha256": "34edebfed19747662865152d2c3583ef2d5c29880423a3e9a84d9adb0c876b93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.04499",
    "kind": "arxiv",
    "version": 2
  }
}