Pith Number

pith:F345AI5E

pith:2016:F345AI5EMDVA3K3YU4DEW7HDT3

not attested not anchored not stored refs pending

Destabilising compact warped product Einstein manifolds

Stuart James Hall, Thomas Murphy, Wafaa Batat

arxiv:1607.05766 v3 · 2016-07-19 · math.DG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F345AI5EMDVA3K3YU4DEW7HDT3}

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	2026-05-17T23:56:48.833721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ef9d023a460ea0dab78a7064b7ce39ef7077f71d23397e4a6f2f724ff115b32

Aliases

arxiv: 1607.05766 · arxiv_version: 1607.05766v3 · doi: 10.48550/arxiv.1607.05766 · pith_short_12: F345AI5EMDVA · pith_short_16: F345AI5EMDVA3K3Y · pith_short_8: F345AI5E

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/F345AI5EMDVA3K3YU4DEW7HDT3 \
  | 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: 2ef9d023a460ea0dab78a7064b7ce39ef7077f71d23397e4a6f2f724ff115b32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9470d4011a9a1272c045524c2a5eb4940f71e23c283ddcd84b3d30d1930901ec",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-07-19T21:35:16Z",
    "title_canon_sha256": "5c73ac4d7f3d9c89f8b95518f23ba9c87f99737259af0e6dbd8ce8f806f7b44c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05766",
    "kind": "arxiv",
    "version": 3
  }
}