Pith Number

pith:BDSCV52G

pith:2018:BDSCV52GPUEURQFDH3WARYHBFH

not attested not anchored not stored refs pending

Mean-field equation for a stochastic many-particle model of quorum-sensing microbial populations

Erwin Frey, Johannes Knebel, Peter Pickl

arxiv:1802.05307 v1 · 2018-02-14 · math-ph · math.MP · physics.bio-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BDSCV52GPUEURQFDH3WARYHBFH}

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	2026-05-18T00:23:16.020495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08e42af7467d0948c0a33eec08e0e129c40c419cb624ca36e529378a0a5a3ff7

Aliases

arxiv: 1802.05307 · arxiv_version: 1802.05307v1 · doi: 10.48550/arxiv.1802.05307 · pith_short_12: BDSCV52GPUEU · pith_short_16: BDSCV52GPUEURQFD · pith_short_8: BDSCV52G

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/BDSCV52GPUEURQFDH3WARYHBFH \
  | 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: 08e42af7467d0948c0a33eec08e0e129c40c419cb624ca36e529378a0a5a3ff7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6c1c26eded6c733c71c40c3e45d61cb88b3f147034be0d27cb8b557d2e56bed",
    "cross_cats_sorted": [
      "math.MP",
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-02-14T20:12:19Z",
    "title_canon_sha256": "681ee694134d8a2170120223c5ad43411ebb46c9f8bfc7774f81714ad8d8fc74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.05307",
    "kind": "arxiv",
    "version": 1
  }
}