Pith Number

pith:QFOYTRZR

pith:2016:QFOYTRZRLAAPKK65UD2UWU6JFQ

not attested not anchored not stored refs pending

ALF gravitational instantons and collapsing Ricci-flat metrics on the K3 surface

Lorenzo Foscolo

arxiv:1603.06315 v2 · 2016-03-21 · 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{QFOYTRZRLAAPKK65UD2UWU6JFQ}

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	2026-05-18T00:45:30.567213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

815d89c7315800f52bdda0f54b53c92c2cba3fea71ea6759c3d1ed7a25baa887

Aliases

arxiv: 1603.06315 · arxiv_version: 1603.06315v2 · doi: 10.48550/arxiv.1603.06315 · pith_short_12: QFOYTRZRLAAP · pith_short_16: QFOYTRZRLAAPKK65 · pith_short_8: QFOYTRZR

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/QFOYTRZRLAAPKK65UD2UWU6JFQ \
  | 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: 815d89c7315800f52bdda0f54b53c92c2cba3fea71ea6759c3d1ed7a25baa887

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80ac93663af0c4652e2f700d765801c9f45e43ac9daec35f708d03c6106e8745",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-03-21T02:59:02Z",
    "title_canon_sha256": "385d70541066661ac3c0d93f542899f5c70d4a8c6f8fa5b9dcc5c0489ac1bf7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06315",
    "kind": "arxiv",
    "version": 2
  }
}