Pith Number

pith:XF4EOMWY

pith:2016:XF4EOMWYDMXKF6QEGPIJ7AC4N6

not attested not anchored not stored refs pending

Lipschitz retractions in Hadamard spaces via gradient flow semigroups

Leonid V. Kovalev, Miroslav Bacak

arxiv:1603.01836 v1 · 2016-03-07 · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XF4EOMWYDMXKF6QEGPIJ7AC4N6}

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	2026-05-18T00:11:19.404296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9784732d81b2ea2fa0433d09f805c6fb04ba4c49885dd3e8e3b8be909c11670

Aliases

arxiv: 1603.01836 · arxiv_version: 1603.01836v1 · doi: 10.48550/arxiv.1603.01836 · pith_short_12: XF4EOMWYDMXK · pith_short_16: XF4EOMWYDMXKF6QE · pith_short_8: XF4EOMWY

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/XF4EOMWYDMXKF6QEGPIJ7AC4N6 \
  | 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: b9784732d81b2ea2fa0433d09f805c6fb04ba4c49885dd3e8e3b8be909c11670

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1a1f8b8847437d48cb8ddc410d939a892c1c31738e9697f0165670e6d4b99d7",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-03-07T07:00:18Z",
    "title_canon_sha256": "4660dc1b0edac33f8994dca0a985e920d10266e6953d991d89c151c87e71c9fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01836",
    "kind": "arxiv",
    "version": 1
  }
}