Pith Number

pith:TK44AO5M

pith:2012:TK44AO5M7NOYBN47VWF4KMPW36

not attested not anchored not stored refs pending

Stability and bifurcations in an epidemic model with varying immunity period

K. B. Blyuss, Y. N. Kyrychko

arxiv:1201.4587 v1 · 2012-01-22 · nlin.CD · math.DS · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TK44AO5M7NOYBN47VWF4KMPW36}

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	2026-05-18T03:45:12.488784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ab9c03bacfb5d80b79fad8bc531f6df902ff3a3c7d00c18f86c43c93e891412

Aliases

arxiv: 1201.4587 · arxiv_version: 1201.4587v1 · doi: 10.48550/arxiv.1201.4587 · pith_short_12: TK44AO5M7NOY · pith_short_16: TK44AO5M7NOYBN47 · pith_short_8: TK44AO5M

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/TK44AO5M7NOYBN47VWF4KMPW36 \
  | 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: 9ab9c03bacfb5d80b79fad8bc531f6df902ff3a3c7d00c18f86c43c93e891412

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "658fe0df287afedfad3606f8b7b2b0c07503420a4fe1c3dba14673966a0b12a4",
    "cross_cats_sorted": [
      "math.DS",
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2012-01-22T18:42:34Z",
    "title_canon_sha256": "1aab323919104f9d9a768f37b178fc562e37af221eaca7bcfed1c2b63b2e3ab5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4587",
    "kind": "arxiv",
    "version": 1
  }
}