Pith Number

pith:FCF4U3UC

pith:2016:FCF4U3UC5BFDRJFEFZFSXXJQYQ

not attested not anchored not stored refs pending

On $5$-manifolds with free fundamental group and simple boundary links in $S^5$

Matthias Kreck, Yang Su

arxiv:1602.01943 v2 · 2016-02-05 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FCF4U3UC5BFDRJFEFZFSXXJQYQ}

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	2026-05-18T00:20:59.848185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

288bca6e82e84a38a4a42e4b2bdd30c437dc0029a6442226261d8fa74d429920

Aliases

arxiv: 1602.01943 · arxiv_version: 1602.01943v2 · doi: 10.48550/arxiv.1602.01943 · pith_short_12: FCF4U3UC5BFD · pith_short_16: FCF4U3UC5BFDRJFE · pith_short_8: FCF4U3UC

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/FCF4U3UC5BFDRJFEFZFSXXJQYQ \
  | 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: 288bca6e82e84a38a4a42e4b2bdd30c437dc0029a6442226261d8fa74d429920

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "512529a02a58455e04c4b57311c9fd2ed116c9a1e0a8ddd0df1ff22b121d2920",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-02-05T07:48:02Z",
    "title_canon_sha256": "8c1ba1483320755bed992c0ea0ed18b561388aca2aef28944cb50229434c44f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01943",
    "kind": "arxiv",
    "version": 2
  }
}