Pith Number

pith:CH5FQAD3

pith:2026:CH5FQAD3HLNNIMH73HYYO2PG7P

not attested not anchored not stored refs pending

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation

Elena Magnanini, Ivan Kryven

arxiv:2606.22967 v1 · 2026-06-22 · math.AP · 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{CH5FQAD3HLNNIMH73HYYO2PG7P}

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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.

Cited by

1 paper in Pith

Cluster-Cluster model in $\mathbb{Z}^d$

Receipt and verification

First computed	2026-06-23T03:14:05.473190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11fa58007b3adad430ffd9f18769e6fbda78995699d384a26d368f8bb69158c9

Aliases

arxiv: 2606.22967 · arxiv_version: 2606.22967v1 · doi: 10.48550/arxiv.2606.22967 · pith_short_12: CH5FQAD3HLNN · pith_short_16: CH5FQAD3HLNNIMH7 · pith_short_8: CH5FQAD3

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/CH5FQAD3HLNNIMH73HYYO2PG7P \
  | 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: 11fa58007b3adad430ffd9f18769e6fbda78995699d384a26d368f8bb69158c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f486171c84008928737467e539458adfa10ff00fd3861e4a84c3aef2d2bce240",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-22T07:46:12Z",
    "title_canon_sha256": "35a9635cb3edc4e0186c75cbac6d8077eacc877fa0a6a57b3815a5a765670817"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22967",
    "kind": "arxiv",
    "version": 1
  }
}