Pith Number

pith:YRSMNG7W

pith:2016:YRSMNG7WGA4V6IEGKPZXADKZWN

not attested not anchored not stored refs pending

Smallest homotopically trivial non-contractible spaces

Miguel Ottina, Nicol\'as Cianci

arxiv:1608.05307 v1 · 2016-08-18 · math.AT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YRSMNG7WGA4V6IEGKPZXADKZWN}

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.

Cited by

1 paper in Pith

Regular coverings and fundamental groupoids of Alexandroff spaces

Receipt and verification

First computed	2026-05-18T01:08:31.414904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c464c69bf630395f208653f3700d59b3611eba7b6af7c417dda3263dcea1150f

Aliases

arxiv: 1608.05307 · arxiv_version: 1608.05307v1 · doi: 10.48550/arxiv.1608.05307 · pith_short_12: YRSMNG7WGA4V · pith_short_16: YRSMNG7WGA4V6IEG · pith_short_8: YRSMNG7W

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/YRSMNG7WGA4V6IEGKPZXADKZWN \
  | 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: c464c69bf630395f208653f3700d59b3611eba7b6af7c417dda3263dcea1150f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "680549d4e99ff6792b1cc417c192bf1cebc4300b95de11f4995fc417e5aafb40",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-08-18T15:51:13Z",
    "title_canon_sha256": "07f6509b725e09f07dc6d1392dabe2d0f3244570e048c63e114f6cadfa3c39d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05307",
    "kind": "arxiv",
    "version": 1
  }
}