pith. sign in
Pith Number

pith:CLPJEEKZ

pith:2012:CLPJEEKZPAHY4IRY2AUHEGWUJ4
not attested not anchored not stored refs pending

Randomly Evolving Idiotypic Networks: Modular Mean Field Theory

Holger Schmidtchen, Ulrich Behn

arxiv:1201.3530 v1 · 2012-01-17 · q-bio.CB · cond-mat.dis-nn · physics.bio-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CLPJEEKZPAHY4IRY2AUHEGWUJ4}

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 2026-05-18T01:58:48.122965Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

12de921159780f8e2238d028721ad44f16693b30ebed60ec815578bf94bc5198

Aliases

arxiv: 1201.3530 · arxiv_version: 1201.3530v1 · doi: 10.48550/arxiv.1201.3530 · pith_short_12: CLPJEEKZPAHY · pith_short_16: CLPJEEKZPAHY4IRY · pith_short_8: CLPJEEKZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CLPJEEKZPAHY4IRY2AUHEGWUJ4 \
  | 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: 12de921159780f8e2238d028721ad44f16693b30ebed60ec815578bf94bc5198
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "18da64dea0bcc7e3adf390a13c8de35b9976ec7f263eca2117398e07135373dc",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.CB",
    "submitted_at": "2012-01-17T15:33:16Z",
    "title_canon_sha256": "b85b425c7a1b0dcf947fcd777ab37b4c68afe594585d9f40f0b54c687f65753b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3530",
    "kind": "arxiv",
    "version": 1
  }
}