Pith Number

pith:63XJSQTZ

pith:2026:63XJSQTZAEP4Q3DPUKNX3ZZSXP

not attested not anchored not stored refs pending

Percolation and clustering in ecological communities: A dynamical theory

C\'edric Koller, Dario Sergo, Lenka Zdeborov\'a, Vittorio Erba

arxiv:2606.09494 v1 · 2026-06-08 · q-bio.PE · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{63XJSQTZAEP4Q3DPUKNX3ZZSXP}

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	2026-06-09T02:08:51.656094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6ee994279011fc86c6fa29b7de732bbc687392a16bcc767daa7c6ca5b8cd3b8

Aliases

arxiv: 2606.09494 · arxiv_version: 2606.09494v1 · doi: 10.48550/arxiv.2606.09494 · pith_short_12: 63XJSQTZAEP4 · pith_short_16: 63XJSQTZAEP4Q3DP · pith_short_8: 63XJSQTZ

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/63XJSQTZAEP4Q3DPUKNX3ZZSXP \
  | 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: f6ee994279011fc86c6fa29b7de732bbc687392a16bcc767daa7c6ca5b8cd3b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36d7f84321501bcfc0e75da3c05f8921473e8714a5d6fb4654a2fa2be578a771",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2026-06-08T13:47:52Z",
    "title_canon_sha256": "44a69ba00b8b383b8186dfc6a18f9ac7858d0324bcb94039507e23b2d5c888e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09494",
    "kind": "arxiv",
    "version": 1
  }
}