Pith Number

pith:P327TMH5

pith:2018:P327TMH5Q3ZZAU3GQ6BSA436FR

not attested not anchored not stored refs pending

A simple class of infinitely many absolutely exotic manifolds

Selman Akbulut

arxiv:1803.03256 v3 · 2018-03-08 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P327TMH5Q3ZZAU3GQ6BSA436FR}

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	2026-05-17T23:49:27.856146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ef5f9b0fd86f3905366878320737e2c67ed1dc06fe6422f820a88d31301def6

Aliases

arxiv: 1803.03256 · arxiv_version: 1803.03256v3 · doi: 10.48550/arxiv.1803.03256 · pith_short_12: P327TMH5Q3ZZ · pith_short_16: P327TMH5Q3ZZAU3G · pith_short_8: P327TMH5

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/P327TMH5Q3ZZAU3GQ6BSA436FR \
  | 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: 7ef5f9b0fd86f3905366878320737e2c67ed1dc06fe6422f820a88d31301def6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53513d0b1c7719049d74c75c9742e0fe414f5c0a57f637cd002e1f1f46a84df0",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-03-08T18:53:56Z",
    "title_canon_sha256": "549f5d4414b919014a623a160d8d323c9bad8e5234b62ceb9de8fca3b57402a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03256",
    "kind": "arxiv",
    "version": 3
  }
}