Pith Number

pith:CWMNN2LW

pith:2021:CWMNN2LWSE2CGUIJQPWQGYIU5N

not attested not anchored not stored refs pending

Path-integral solution of MacArthur's resource-competition model for large ecosystems with random species-resources couplings

Andrea De Martino, A.R. Batista-Tomas, Roberto Mulet

arxiv:2110.09204 v1 · 2021-10-18 · q-bio.PE · cond-mat.dis-nn · 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{CWMNN2LWSE2CGUIJQPWQGYIU5N}

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	2026-07-05T03:23:25.424615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1598d6e976913423510983ed036114eb7f90bca0dc234eff34e6f8846459408f

Aliases

arxiv: 2110.09204 · arxiv_version: 2110.09204v1 · doi: 10.48550/arxiv.2110.09204 · pith_short_12: CWMNN2LWSE2C · pith_short_16: CWMNN2LWSE2CGUIJ · pith_short_8: CWMNN2LW

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/CWMNN2LWSE2CGUIJQPWQGYIU5N \
  | 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: 1598d6e976913423510983ed036114eb7f90bca0dc234eff34e6f8846459408f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98253c51dabac6da6b4d9fcf2f76009188e165687cdb7fe8d6111445d337442a",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2021-10-18T11:43:05Z",
    "title_canon_sha256": "a2acfa94731a384b981f9cab827578ff5592c424ead11ddfeee6c0eb052ce2b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.09204",
    "kind": "arxiv",
    "version": 1
  }
}