Pith Number

pith:XMYNDTKV

pith:2026:XMYNDTKV4JL33XHKPEXPUXXB54

not attested not anchored not stored refs pending

Population dynamics of surface-mediated autocatalytic processes

Denis S. Grebenkov, Yilin Ye

arxiv:2606.13498 v1 · 2026-06-11 · cond-mat.stat-mech · math-ph · math.MP · physics.chem-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{XMYNDTKV4JL33XHKPEXPUXXB54}

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	2026-06-12T01:10:06.863591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb30d1cd55e257bddcea792efa5ee1ef263f389beae659efe992c28e81291b61

Aliases

arxiv: 2606.13498 · arxiv_version: 2606.13498v1 · doi: 10.48550/arxiv.2606.13498 · pith_short_12: XMYNDTKV4JL3 · pith_short_16: XMYNDTKV4JL33XHK · pith_short_8: XMYNDTKV

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/XMYNDTKV4JL33XHKPEXPUXXB54 \
  | 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: bb30d1cd55e257bddcea792efa5ee1ef263f389beae659efe992c28e81291b61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5abda5261990cca4d8d183f8ad9b18974dfe14b9f23dd22af7b728da1f8808c7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.chem-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-06-11T15:48:26Z",
    "title_canon_sha256": "6e37a93c7730e719e28a9569dd0713e67441057f17482faa6c97438cb1d087cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13498",
    "kind": "arxiv",
    "version": 1
  }
}