Pith Number

pith:BMJR7HW3

pith:2010:BMJR7HW3GCAXEBWA67VVMN27OK

not attested not anchored not stored refs pending

The Clumping Transition in Niche Competition: a Robust Critical Phenomenon

E. van Nes, H. Fort, M. Scheffer

arxiv:1005.1961 v1 · 2010-05-11 · nlin.AO · cond-mat.stat-mech · physics.bio-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{BMJR7HW3GCAXEBWA67VVMN27OK}

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	2026-05-18T02:24:08.202526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b131f9edb30817206c0f7eb56375f7292661cd10036d416eca6d7ecd3850615

Aliases

arxiv: 1005.1961 · arxiv_version: 1005.1961v1 · doi: 10.48550/arxiv.1005.1961 · pith_short_12: BMJR7HW3GCAX · pith_short_16: BMJR7HW3GCAXEBWA · pith_short_8: BMJR7HW3

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/BMJR7HW3GCAXEBWA67VVMN27OK \
  | 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: 0b131f9edb30817206c0f7eb56375f7292661cd10036d416eca6d7ecd3850615

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d155af9b628832885bfc3ddd7cf2f3f3d366acb1c4d947c4745a6b7c9890821",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2010-05-11T22:11:15Z",
    "title_canon_sha256": "daf4f93ec8d78f4c9e3c1bb03733c46869568919eb3e99bd71fcb0a15cd71ea8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1961",
    "kind": "arxiv",
    "version": 1
  }
}