Pith Number

pith:L5ZPBDKT

pith:2017:L5ZPBDKTIAMJKVFBUPL7PZF3SU

not attested not anchored not stored refs pending

Simplification of Markov chains with infinite state space and the mathematical theory of random gene expression bursts

Chen Jia

arxiv:1707.07422 v2 · 2017-07-24 · q-bio.MN · cond-mat.stat-mech · q-bio.CB

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L5ZPBDKTIAMJKVFBUPL7PZF3SU}

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	2026-05-18T00:35:19.409514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f72f08d5340189554a1a3d7f7e4bb9505b9c0884bd681698d2996b3249f644d

Aliases

arxiv: 1707.07422 · arxiv_version: 1707.07422v2 · doi: 10.48550/arxiv.1707.07422 · pith_short_12: L5ZPBDKTIAMJ · pith_short_16: L5ZPBDKTIAMJKVFB · pith_short_8: L5ZPBDKT

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/L5ZPBDKTIAMJKVFBUPL7PZF3SU \
  | 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: 5f72f08d5340189554a1a3d7f7e4bb9505b9c0884bd681698d2996b3249f644d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d85d8f6fb5d202569ab9fd319c4b26784ebbfad9eaab0ad7911a6ecb9f6fb128",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "q-bio.CB"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.MN",
    "submitted_at": "2017-07-24T07:02:46Z",
    "title_canon_sha256": "b561638d57e065fa6228be7fa741e345175339d2812349db70bb484fd27fd652"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07422",
    "kind": "arxiv",
    "version": 2
  }
}