Pith Number

pith:CF5HQCPI

pith:2011:CF5HQCPIUMYW2EBHNKGMDKR62O

not attested not anchored not stored refs pending

Distance sets of universal and Urysohn metric spaces

Norbert Sauer

arxiv:1107.4794 v1 · 2011-07-24 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CF5HQCPIUMYW2EBHNKGMDKR62O}

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	2026-05-18T04:16:54.641787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

117a7809e8a3316d10276a8cc1aa3ed3ba07298c0943a457e7e15610ddf8098f

Aliases

arxiv: 1107.4794 · arxiv_version: 1107.4794v1 · doi: 10.48550/arxiv.1107.4794 · pith_short_12: CF5HQCPIUMYW · pith_short_16: CF5HQCPIUMYW2EBH · pith_short_8: CF5HQCPI

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/CF5HQCPIUMYW2EBHNKGMDKR62O \
  | 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: 117a7809e8a3316d10276a8cc1aa3ed3ba07298c0943a457e7e15610ddf8098f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec95e584e3615805b5eca9891c1b3929cbaecd77234be4f849526baefef0eca8",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-24T20:12:53Z",
    "title_canon_sha256": "250eba5090b9ae5188bf72562e4206fa219c6090c0e247e194b8149a294d020e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4794",
    "kind": "arxiv",
    "version": 1
  }
}