Pith Number

pith:VCUZW4LV

pith:2018:VCUZW4LVGSMPFOQPP5FNYI33Q4

not attested not anchored not stored refs pending

Bornological, coarse and uniform groups

Igor Protasov

arxiv:1807.03028 v2 · 2018-07-09 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCUZW4LVGSMPFOQPP5FNYI33Q4}

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	2026-05-18T00:00:39.417576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8a99b71753498f2ba0f7f4adc237b8709fbc212fa4ab5baaa3d62c1329b5368

Aliases

arxiv: 1807.03028 · arxiv_version: 1807.03028v2 · doi: 10.48550/arxiv.1807.03028 · pith_short_12: VCUZW4LVGSMP · pith_short_16: VCUZW4LVGSMPFOQP · pith_short_8: VCUZW4LV

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/VCUZW4LVGSMPFOQPP5FNYI33Q4 \
  | 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: a8a99b71753498f2ba0f7f4adc237b8709fbc212fa4ab5baaa3d62c1329b5368

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eea2817016cbaccec9ac53d21c41f1d9c01a7eeaa4a5fcd97d5c5888087fb5da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2018-07-09T10:25:54Z",
    "title_canon_sha256": "22330d2c0acde917d524843bc7dc810b03c6a4db04b5ab7ce7b042ba14d532eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.03028",
    "kind": "arxiv",
    "version": 2
  }
}