Pith Number

pith:ENKGAMEN

pith:2014:ENKGAMENCRA7HVYVCEVZHG6YDV

not attested not anchored not stored refs pending

The Loop Space Homotopy Type of Simply-connected Four-manifolds and their Generalizations

Piotr Beben, Stephen Theriault

arxiv:1406.0651 v1 · 2014-06-03 · math.AT · 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{ENKGAMENCRA7HVYVCEVZHG6YDV}

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	2026-05-18T02:50:33.112799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

235460308d1441f3d715112b939bd81d7e64d6cce529c380e290f80a4bca4030

Aliases

arxiv: 1406.0651 · arxiv_version: 1406.0651v1 · doi: 10.48550/arxiv.1406.0651 · pith_short_12: ENKGAMENCRA7 · pith_short_16: ENKGAMENCRA7HVYV · pith_short_8: ENKGAMEN

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/ENKGAMENCRA7HVYVCEVZHG6YDV \
  | 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: 235460308d1441f3d715112b939bd81d7e64d6cce529c380e290f80a4bca4030

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1514ebe04ef4709f72efebfc18425f6c03e92294bf3ea50530c4ba85fd61e6ce",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-06-03T10:09:12Z",
    "title_canon_sha256": "aa89784827645b5ab921fa9c43aec544195cc407f08198f0080fbba2f29c99b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0651",
    "kind": "arxiv",
    "version": 1
  }
}