Pith Number

pith:4R66PKKL

pith:2018:4R66PKKLWSJQY2QIT26K6Y3JDX

not attested not anchored not stored refs pending

An existence result and evolutionary $\Gamma$-convergence for perturbed gradient systems

Alexander Mielke, Aras Bacho, Etienne Emmrich

arxiv:1801.05364 v1 · 2018-01-16 · 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{4R66PKKLWSJQY2QIT26K6Y3JDX}

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	2026-05-18T00:25:46.991284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e47de7a94bb4930c6a089ebcaf63691dd81d185e1ef934e4cf39f0e1b30773c7

Aliases

arxiv: 1801.05364 · arxiv_version: 1801.05364v1 · doi: 10.48550/arxiv.1801.05364 · pith_short_12: 4R66PKKLWSJQ · pith_short_16: 4R66PKKLWSJQY2QI · pith_short_8: 4R66PKKL

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/4R66PKKLWSJQY2QIT26K6Y3JDX \
  | 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: e47de7a94bb4930c6a089ebcaf63691dd81d185e1ef934e4cf39f0e1b30773c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5f1a0cf80b31dbfc47f73dd6a38382bbb4e4ede4f79a521d7a363a1419d9fa0",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-01-16T16:59:53Z",
    "title_canon_sha256": "5418d5491a4ba64307b6550ba235631cd6474a7dfc36a90c535803cd8d5ea0ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.05364",
    "kind": "arxiv",
    "version": 1
  }
}