Pith Number

pith:4UMRIPU5

pith:2009:4UMRIPU5LVI43IC4C7PHV5JC7I

not attested not anchored not stored refs pending

Classification of Q-trivial Bott manifolds

Mikiya Masuda, Suyoung Choi

arxiv:0912.5000 v1 · 2009-12-27 · 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{4UMRIPU5LVI43IC4C7PHV5JC7I}

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	2026-05-18T03:45:21.433507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e519143e9d5d51cda05c17de7af522fa17cfb3a2eaa27b6a9752a2492cff02b1

Aliases

arxiv: 0912.5000 · arxiv_version: 0912.5000v1 · doi: 10.48550/arxiv.0912.5000 · pith_short_12: 4UMRIPU5LVI4 · pith_short_16: 4UMRIPU5LVI43IC4 · pith_short_8: 4UMRIPU5

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/4UMRIPU5LVI43IC4C7PHV5JC7I \
  | 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: e519143e9d5d51cda05c17de7af522fa17cfb3a2eaa27b6a9752a2492cff02b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "354e9814b2867bb8950decf3f8a2cd9d82fa7233a0e5e31cd46ae0a89287caba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-12-27T05:30:51Z",
    "title_canon_sha256": "a3c4e9f303cb9a5ff1ee70c9337fc044a76d9f3fae9a046b3ff373f44ad61b04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.5000",
    "kind": "arxiv",
    "version": 1
  }
}