Pith Number

pith:4VMC5LL5

pith:2015:4VMC5LL5I64KBYBITWNBTUIW25

not attested not anchored not stored refs pending

Formality of 7-dimensional 3-Sasakian manifolds

Marisa Fern\'andez, Stefan Ivanov, Vicente Mu\~noz

arxiv:1511.08930 v1 · 2015-11-28 · 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{4VMC5LL5I64KBYBITWNBTUIW25}

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	2026-05-18T01:25:46.083813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5582ead7d47b8a0e0289d9a19d116d74eb05e65d51b35b234f3ce1e2410444b

Aliases

arxiv: 1511.08930 · arxiv_version: 1511.08930v1 · doi: 10.48550/arxiv.1511.08930 · pith_short_12: 4VMC5LL5I64K · pith_short_16: 4VMC5LL5I64KBYBI · pith_short_8: 4VMC5LL5

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/4VMC5LL5I64KBYBITWNBTUIW25 \
  | 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: e5582ead7d47b8a0e0289d9a19d116d74eb05e65d51b35b234f3ce1e2410444b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2441c3c2ca6f385c5f09642b025eb24f114075d17b67a58be3f9f26edb171690",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-11-28T21:11:09Z",
    "title_canon_sha256": "82e6c3f0a2fa75a99d6e20426d3f253db985a36cb2f490c18c2c1f49a373c017"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08930",
    "kind": "arxiv",
    "version": 1
  }
}