pith. sign in
Pith Number

pith:GF32BAJF

pith:2017:GF32BAJFLXOO5ZRPJQOZ6NPK6N
not attested not anchored not stored refs pending

Mean field at distance one

Ka Yin Leung, Mirjam Kretzschmar, Odo Diekmann

arxiv:1701.02128 v2 · 2017-01-09 · q-bio.PE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GF32BAJFLXOO5ZRPJQOZ6NPK6N}

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 2026-05-18T00:49:22.782411Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3177a081255ddceee62f4c1d9f35eaf357ab7e3624004b4b7ced4dd0a8c2636e

Aliases

arxiv: 1701.02128 · arxiv_version: 1701.02128v2 · doi: 10.48550/arxiv.1701.02128 · pith_short_12: GF32BAJFLXOO · pith_short_16: GF32BAJFLXOO5ZRP · pith_short_8: GF32BAJF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GF32BAJFLXOO5ZRPJQOZ6NPK6N \
  | 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: 3177a081255ddceee62f4c1d9f35eaf357ab7e3624004b4b7ced4dd0a8c2636e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b6076d53994f5c3a5c7b482d98afd9aca60b786a0a21df12b633d1cd2a0265d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2017-01-09T10:45:31Z",
    "title_canon_sha256": "79645a628707f01aebaf1e5126ea7467cc10ec7ae44a53ea2cf1b075122d2caf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02128",
    "kind": "arxiv",
    "version": 2
  }
}