Pith Number

pith:K3FAZTCH

pith:2018:K3FAZTCH5QXDZUXC7N6VVE2EVC

not attested not anchored not stored refs pending

Thermodynamic Limit of the Transition Rate of a Crystalline Defect

Christoph Ortner, Julian Braun, Manh Hong Duong

arxiv:1810.11643 v2 · 2018-10-27 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K3FAZTCH5QXDZUXC7N6VVE2EVC}

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	2026-05-17T23:58:47.386096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56ca0ccc47ec2e3cd2e2fb7d5a9344a8904d98c5d4bff2d7f89fc5ea45815c28

Aliases

arxiv: 1810.11643 · arxiv_version: 1810.11643v2 · doi: 10.48550/arxiv.1810.11643 · pith_short_12: K3FAZTCH5QXD · pith_short_16: K3FAZTCH5QXDZUXC · pith_short_8: K3FAZTCH

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/K3FAZTCH5QXDZUXC7N6VVE2EVC \
  | 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: 56ca0ccc47ec2e3cd2e2fb7d5a9344a8904d98c5d4bff2d7f89fc5ea45815c28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3609609ca34c9bed300f17cb77bdbe023a77c92f88bd0bcaf19d336e7d8eed9b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-10-27T13:42:07Z",
    "title_canon_sha256": "1ef30e907f52e4ccc51073a524daf40e15d279fc774afc0f61ceffb9ebeacb53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.11643",
    "kind": "arxiv",
    "version": 2
  }
}