Pith Number

pith:57SDK7DN

pith:2019:57SDK7DNLAXNYXFO3FX7SQ5WFM

not attested not anchored not stored refs pending

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces

Denis S. Grebenkov

arxiv:1908.01143 v1 · 2019-08-03 · physics.chem-ph · 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{57SDK7DNLAXNYXFO3FX7SQ5WFM}

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	2026-07-05T00:16:36.046769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efe4357c6d582edc5caed96ff943b62b340ca45f5ee1d09e43bfddf21e0a2985

Aliases

arxiv: 1908.01143 · arxiv_version: 1908.01143v1 · doi: 10.48550/arxiv.1908.01143 · pith_short_12: 57SDK7DNLAXN · pith_short_16: 57SDK7DNLAXNYXFO · pith_short_8: 57SDK7DN

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/57SDK7DNLAXNYXFO3FX7SQ5WFM \
  | 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: efe4357c6d582edc5caed96ff943b62b340ca45f5ee1d09e43bfddf21e0a2985

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "714a91e8607033041844c1f916397c69a350ad742ccafa06509793cf3b8bac22",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2019-08-03T10:05:50Z",
    "title_canon_sha256": "c64e959dd7917597be1b1cfa1a93a63f54be8d82e98a08e1f28a7612db0837c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01143",
    "kind": "arxiv",
    "version": 1
  }
}