Pith Number

pith:6QAQZ4XX

pith:2005:6QAQZ4XXA4IOI2USFTSMNG4AOS

not attested not anchored not stored refs pending

Instability of defensive alliances in the predator-prey model on complex networks

Beom Jun Kim, Jaegon Um, Jianbin Liu, Sung-Ik Lee

arxiv:cond-mat/0510163 v1 · 2005-10-07 · cond-mat.stat-mech · 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{6QAQZ4XXA4IOI2USFTSMNG4AOS}

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	2026-07-04T14:50:47.464552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4010cf2f70710e46a922ce4c69b80748548a033b4aff9e7b93579444ad1c4bb

Aliases

arxiv: cond-mat/0510163 · arxiv_version: cond-mat/0510163v1 · doi: 10.48550/arxiv.cond-mat/0510163 · pith_short_12: 6QAQZ4XXA4IO · pith_short_16: 6QAQZ4XXA4IOI2US · pith_short_8: 6QAQZ4XX

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/6QAQZ4XXA4IOI2USFTSMNG4AOS \
  | 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: f4010cf2f70710e46a922ce4c69b80748548a033b4aff9e7b93579444ad1c4bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e814df41e0edb920ea97aced76f46631fddf4f150f7d4b22a5c4342d31cf790",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2005-10-07T03:39:48Z",
    "title_canon_sha256": "4a901a72fca62961bb9afe8042867396e52767e6395e1740481658d06b0f456a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0510163",
    "kind": "arxiv",
    "version": 1
  }
}