Pith Number

pith:Q5KY2UND

pith:2024:Q5KY2UNDOYFGXAZD2GI6FIEGNL

not attested not anchored not stored refs pending

Negatively curved Einstein metrics on Gromov-Thurston manifolds

Frieder J\"ackel, Ursula Hamenst\"adt

arxiv:2411.12956 v2 · 2024-11-20 · 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{Q5KY2UNDOYFGXAZD2GI6FIEGNL}

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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.

Cited by

2 papers in Pith

The entropy-degree theorem for Alexandrov spaces

The geometry of branched coverings of hyperbolic manifolds

Receipt and verification

First computed	2026-07-05T10:02:55.107411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87558d51a3760a6b8323d191e2a0866add69d02d4b688861ce629f51d1679290

Aliases

arxiv: 2411.12956 · arxiv_version: 2411.12956v2 · doi: 10.48550/arxiv.2411.12956 · pith_short_12: Q5KY2UNDOYFG · pith_short_16: Q5KY2UNDOYFGXAZD · pith_short_8: Q5KY2UND

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/Q5KY2UNDOYFGXAZD2GI6FIEGNL \
  | 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: 87558d51a3760a6b8323d191e2a0866add69d02d4b688861ce629f51d1679290

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8691954ebf3a726b831cc53141d8f6dbac3ca77afc9053ca3516ca239b89805c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-11-20T01:19:18Z",
    "title_canon_sha256": "1e519d56638401cd184049ede02a9cf6176fc171424589a221cc4623e66f1ee6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.12956",
    "kind": "arxiv",
    "version": 2
  }
}