Pith Number

pith:27WKZUAF

pith:2019:27WKZUAFNUWZ5ICKVQSPYF5R2H

not attested not anchored not stored refs pending

A non-linear adiabatic theorem for the one-dimensional Landau-Pekar equations

Rupert L. Frank, Zhou Gang

arxiv:1906.07908 v1 · 2019-06-19 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{27WKZUAFNUWZ5ICKVQSPYF5R2H}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:42:57.330890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7ecacd0056d2d9ea04aac24fc17b1d1ff9715fc2fbb55d0128df7f644da9d96

Aliases

arxiv: 1906.07908 · arxiv_version: 1906.07908v1 · doi: 10.48550/arxiv.1906.07908 · pith_short_12: 27WKZUAFNUWZ · pith_short_16: 27WKZUAFNUWZ5ICK · pith_short_8: 27WKZUAF

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/27WKZUAFNUWZ5ICKVQSPYF5R2H \
  | 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: d7ecacd0056d2d9ea04aac24fc17b1d1ff9715fc2fbb55d0128df7f644da9d96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf0d0aeb993621b3c92651bea86a130a6c512ad328785368936329f13bacdbe0",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-06-19T04:31:24Z",
    "title_canon_sha256": "cdfa5c515bf887c87dd7b119c9267d2ab5e102976bb976f41fb711f68132b2a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07908",
    "kind": "arxiv",
    "version": 1
  }
}