Pith Number

pith:CJG6EDIH

pith:2026:CJG6EDIH7TSIOTKSPJ5TOROR2D

not attested not anchored not stored refs pending

A Tight Epidemic Threshold for Competing Stochastic Infection Processes with Mutually Exclusive Immunity

Martin S. Krejca, Nicolas Klodt

arxiv:2605.19933 v1 · 2026-05-19 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CJG6EDIH7TSIOTKSPJ5TOROR2D}

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	2026-05-20T02:05:55.964665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

124de20d07fce4874d527a7b3745d1d0f45467dcbd5a663095fd57c0c621ea70

Aliases

arxiv: 2605.19933 · arxiv_version: 2605.19933v1 · doi: 10.48550/arxiv.2605.19933 · pith_short_12: CJG6EDIH7TSI · pith_short_16: CJG6EDIH7TSIOTKS · pith_short_8: CJG6EDIH

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/CJG6EDIH7TSIOTKSPJ5TOROR2D \
  | 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: 124de20d07fce4874d527a7b3745d1d0f45467dcbd5a663095fd57c0c621ea70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b795810d34037358671f81e63ddef0071407b62040f256cb1dbfa093db7e7cbc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-19T14:53:29Z",
    "title_canon_sha256": "f8ba9f3a37e0c7be6a5bb030193b0df31da97906d230c69b85d5506ce19fe259"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19933",
    "kind": "arxiv",
    "version": 1
  }
}