Pith Number

pith:W25MJFTT

pith:2016:W25MJFTTYWQQK3X3H36WBYZHPZ

not attested not anchored not stored refs pending

Operator Approach to the Master Equation for the One-Step Process

A. V. Korolkova, D. S. Kulyabov, E. G. Eferina, L. A. Sevastyanov, M. Hnatich

arxiv:1603.02205 v1 · 2016-03-07 · 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{W25MJFTTYWQQK3X3H36WBYZHPZ}

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	2026-05-18T01:19:31.369882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6bac49673c5a1056efb3efd60e3277e642e48be9427bceef39034d280b80285

Aliases

arxiv: 1603.02205 · arxiv_version: 1603.02205v1 · doi: 10.48550/arxiv.1603.02205 · pith_short_12: W25MJFTTYWQQ · pith_short_16: W25MJFTTYWQQK3X3 · pith_short_8: W25MJFTT

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/W25MJFTTYWQQK3X3H36WBYZHPZ \
  | 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: b6bac49673c5a1056efb3efd60e3277e642e48be9427bceef39034d280b80285

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87a27eba1ba1b60836abb8fee0172ddff42cda1ca0c83f62aaec292fdf437abd",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-03-07T18:59:18Z",
    "title_canon_sha256": "dcb784d3fc70782c83ddb2f7c96f737013642f1b0fbf97256275d0a0d6721726"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02205",
    "kind": "arxiv",
    "version": 1
  }
}