Pith Number

pith:7PAYY4OY

pith:2014:7PAYY4OYR7BSJNMZVPNXQGWRO7

not attested not anchored not stored refs pending

Global Hopf Bifurcation in the ZIP regulatory system

Andr\'es Chavarr\'ia-Krauser, Ansgar Bohmann, Juliane Claus, Mariya Ptashnyk

arxiv:1401.5597 v2 · 2014-01-22 · math.DS · 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{7PAYY4OYR7BSJNMZVPNXQGWRO7}

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	2026-05-18T02:42:14.722638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbc18c71d88fc324b599abdb781ad177f59b62a459c90df5df84e1d4f338c31b

Aliases

arxiv: 1401.5597 · arxiv_version: 1401.5597v2 · doi: 10.48550/arxiv.1401.5597 · pith_short_12: 7PAYY4OYR7BS · pith_short_16: 7PAYY4OYR7BSJNMZ · pith_short_8: 7PAYY4OY

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/7PAYY4OYR7BSJNMZVPNXQGWRO7 \
  | 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: fbc18c71d88fc324b599abdb781ad177f59b62a459c90df5df84e1d4f338c31b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0490c9a1003e2e6796a0a9d678df445de4e6c9264bf8ec5485e34318e71db59e",
    "cross_cats_sorted": [
      "q-bio.CB"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-01-22T09:28:55Z",
    "title_canon_sha256": "f4bddd3dc5ca31930af3115fca292fa8372f25f2c0d1a49ff605a23e6339001c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5597",
    "kind": "arxiv",
    "version": 2
  }
}