Pith Number

pith:MXTQ7FVC

pith:2010:MXTQ7FVCHJRYXG7GFM6CEA6K55

not attested not anchored not stored refs pending

Coexistence and critical behaviour in a lattice model of competing species

Adam Lipowski, Antonio Luis Ferreira, Jacek Wendykier

arxiv:1010.2538 v2 · 2010-10-12 · q-bio.PE · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXTQ7FVCHJRYXG7GFM6CEA6K55}

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	2026-05-18T04:27:16.173791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65e70f96a23a638b9be62b3c2203caef4b9e915c034057ea40f2feef1a661b43

Aliases

arxiv: 1010.2538 · arxiv_version: 1010.2538v2 · doi: 10.48550/arxiv.1010.2538 · pith_short_12: MXTQ7FVCHJRY · pith_short_16: MXTQ7FVCHJRYXG7G · pith_short_8: MXTQ7FVC

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/MXTQ7FVCHJRYXG7GFM6CEA6K55 \
  | 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: 65e70f96a23a638b9be62b3c2203caef4b9e915c034057ea40f2feef1a661b43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "723288ea86f574f0b0d5feba99d32dd119b426e8fe86bc4e184385fffc1364bf",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2010-10-12T23:33:42Z",
    "title_canon_sha256": "c978724344fec31f133b531fe8ff949bc8cf5b7397ac5c721e3a46fa86bacc12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2538",
    "kind": "arxiv",
    "version": 2
  }
}