Pith Number

pith:JLLXRCUF

pith:2015:JLLXRCUFF2I2UDVKZKDE3QT4V5

not attested not anchored not stored refs pending

Minimal universal metric spaces

E. Petrov, M. Kucukaslan, O. Dovgoshey, V. Bilet

arxiv:1503.00667 v3 · 2015-03-02 · 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{JLLXRCUFF2I2UDVKZKDE3QT4V5}

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	2026-05-18T02:18:40.346296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ad7788a852e91aa0eaaca864dc27caf5680eb565878b55cf500aeacff64c53d

Aliases

arxiv: 1503.00667 · arxiv_version: 1503.00667v3 · doi: 10.48550/arxiv.1503.00667 · pith_short_12: JLLXRCUFF2I2 · pith_short_16: JLLXRCUFF2I2UDVK · pith_short_8: JLLXRCUF

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/JLLXRCUFF2I2UDVKZKDE3QT4V5 \
  | 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: 4ad7788a852e91aa0eaaca864dc27caf5680eb565878b55cf500aeacff64c53d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ee8d416e712fb96e6eb293f5f66c75ce99136c8135ac1c461611a43931425f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-03-02T19:22:08Z",
    "title_canon_sha256": "c02ca14adf3e1291515dd9b74bccd8dff71bd2e875a3ee39379766e8c91a0e06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00667",
    "kind": "arxiv",
    "version": 3
  }
}