Pith Number

pith:MCF737MP

pith:2015:MCF737MPA7ZSZSGUU655RMZJTC

not attested not anchored not stored refs pending

Order and minimality of some topological groups

Luie Polev, Michael Megrelishvili

arxiv:1501.03410 v3 · 2015-01-14 · 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{MCF737MPA7ZSZSGUU655RMZJTC}

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	2026-05-18T01:44:11.506293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

608bfdfd8f07f32cc8d4a7bbd8b32998a05ec863d4dbdcea6791d68a845ed8db

Aliases

arxiv: 1501.03410 · arxiv_version: 1501.03410v3 · doi: 10.48550/arxiv.1501.03410 · pith_short_12: MCF737MPA7ZS · pith_short_16: MCF737MPA7ZSZSGU · pith_short_8: MCF737MP

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/MCF737MPA7ZSZSGUU655RMZJTC \
  | 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: 608bfdfd8f07f32cc8d4a7bbd8b32998a05ec863d4dbdcea6791d68a845ed8db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89801d1d8f5bbdd047527cf7eda1d78f7e1e932b62037250217fd88a85d0b238",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2015-01-14T17:04:04Z",
    "title_canon_sha256": "6e69e6e89c91715c728b03be646424a01579c6f30591e8f1b1a6d5ccb1ed83bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03410",
    "kind": "arxiv",
    "version": 3
  }
}