Pith Number

pith:QTQSSZKJ

pith:2026:QTQSSZKJ6HCRQS2AHUXMCY2FMM

not attested not anchored not stored refs pending

Dynamics of fluctuating populations in multi-state switching environments

Mauro Mobilia

arxiv:2608.12208 v1 · 2026-08-12 · q-bio.PE · cond-mat.stat-mech · nlin.AO · physics.bio-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QTQSSZKJ6HCRQS2AHUXMCY2FMM}

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	2026-08-13T01:30:30.461395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84e1296549f1c5184b403d2ec16345632131068cf0330b8bbbe8d889c3130cd1

Aliases

arxiv: 2608.12208 · arxiv_version: 2608.12208v1 · doi: 10.48550/arxiv.2608.12208 · pith_short_12: QTQSSZKJ6HCR · pith_short_16: QTQSSZKJ6HCRQS2A · pith_short_8: QTQSSZKJ

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/QTQSSZKJ6HCRQS2AHUXMCY2FMM \
  | 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: 84e1296549f1c5184b403d2ec16345632131068cf0330b8bbbe8d889c3130cd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0754db835cb35e945859fa3daf1ec3a97884b26f456dd91310978c669f953b2",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "nlin.AO",
      "physics.bio-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2026-08-12T16:02:40Z",
    "title_canon_sha256": "cc0000186b51c2c6333425879e2a9a28053e3b31b417c4d75b7fd12baa180e9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.12208",
    "kind": "arxiv",
    "version": 1
  }
}