Pith Number

pith:PWUTYAPE

pith:2018:PWUTYAPEN54T6OZSMULUWZJY3U

not attested not anchored not stored refs pending

The homotopy type of the loops on $(n-1)$-connected $(2n+1)$-manifolds

Samik Basu

arxiv:1810.07549 v1 · 2018-10-16 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PWUTYAPEN54T6OZSMULUWZJY3U}

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	2026-05-18T00:02:55.862442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7da93c01e46f793f3b3265174b6538dd17ea79d0a997d332adbae994b11eb54d

Aliases

arxiv: 1810.07549 · arxiv_version: 1810.07549v1 · doi: 10.48550/arxiv.1810.07549 · pith_short_12: PWUTYAPEN54T · pith_short_16: PWUTYAPEN54T6OZS · pith_short_8: PWUTYAPE

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/PWUTYAPEN54T6OZSMULUWZJY3U \
  | 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: 7da93c01e46f793f3b3265174b6538dd17ea79d0a997d332adbae994b11eb54d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a06c6f76b80d06cf150cc6b986b6c2e73efc407d0da8f919505d5f0d4406957d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-10-16T04:46:38Z",
    "title_canon_sha256": "0c9557ecd4d742fdc08262c8934b43076ac5eb41d55cd490223f0589374e31f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07549",
    "kind": "arxiv",
    "version": 1
  }
}