Pith Number

pith:4NHSPFEI

pith:2026:4NHSPFEI2EQSMYCHIQPOQ52OKQ

not attested not anchored not stored refs pending

Failure of local equi-Lipschitzness for families of Lorentz distances to Cauchy surface foliations

Argam Ohanyan, Gregory J. Galloway, Robert J. McCann

arxiv:2606.21997 v1 · 2026-06-20 · math.DG · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4NHSPFEI2EQSMYCHIQPOQ52OKQ}

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	2026-06-23T02:13:05.199390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e34f279488d121266047441ee8774e543f4c8f5033cb6c4d658fc59d87d4e27f

Aliases

arxiv: 2606.21997 · arxiv_version: 2606.21997v1 · doi: 10.48550/arxiv.2606.21997 · pith_short_12: 4NHSPFEI2EQS · pith_short_16: 4NHSPFEI2EQSMYCH · pith_short_8: 4NHSPFEI

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/4NHSPFEI2EQSMYCHIQPOQ52OKQ \
  | 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: e34f279488d121266047441ee8774e543f4c8f5033cb6c4d658fc59d87d4e27f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13e663d8f5aa6b51e4f4f00c383dcf6b5eb7fa2bcdcfcfba2daed930fd66729f",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-20T11:30:14Z",
    "title_canon_sha256": "3f3a42701f57a9d8d31d848839d405dc06899866cbe64cc3281d5e62dcaf8038"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21997",
    "kind": "arxiv",
    "version": 1
  }
}