Pith Number

pith:FKNTAPTR

pith:2026:FKNTAPTRGILWSPIL24EUZQ5WYH

not attested not anchored not stored refs pending

Multiscale feedback drives viral evolution and epidemic dynamics

Josep Sardany\'es, J. Tom\'as L\'azaro, Juan C. Mu\~noz-S\'anchez, Santiago F. Elena

arxiv:2601.19101 v2 · 2026-01-27 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FKNTAPTRGILWSPIL24EUZQ5WYH}

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	2026-06-30T00:15:08.966953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a9b303e713217693d0bd7094cc3b6c1fa2d915ad29175f109bc7e5054020155

Aliases

arxiv: 2601.19101 · arxiv_version: 2601.19101v2 · doi: 10.48550/arxiv.2601.19101 · pith_short_12: FKNTAPTRGILW · pith_short_16: FKNTAPTRGILWSPIL · pith_short_8: FKNTAPTR

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/FKNTAPTRGILWSPIL24EUZQ5WYH \
  | 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: 2a9b303e713217693d0bd7094cc3b6c1fa2d915ad29175f109bc7e5054020155

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20d1fe53477958e823c609c39f642a6f62f36f8b8bd7dd939aad7f58309ccc16",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-01-27T02:05:27Z",
    "title_canon_sha256": "9fbe6bea82cf0f0d1e4ea8e7b638ad8214c7affa52c295b697202d29d3ceb2c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.19101",
    "kind": "arxiv",
    "version": 2
  }
}