Pith Number

pith:VHVHEHNX

pith:2010:VHVHEHNXJLQOZGCWKHVK25KQW4

not attested not anchored not stored refs pending

Cooperation principle, stability and bifurcation in random complex dynamics

Hiroki Sumi

arxiv:1008.3995 v7 · 2010-08-24 · math.DS · math.CV · math.GT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VHVHEHNXJLQOZGCWKHVK25KQW4}

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	2026-05-18T03:18:40.626413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9ea721db74ae0ec985651eaad7550b72e75f968bfb68de96addfdada446390c

Aliases

arxiv: 1008.3995 · arxiv_version: 1008.3995v7 · doi: 10.48550/arxiv.1008.3995 · pith_short_12: VHVHEHNXJLQO · pith_short_16: VHVHEHNXJLQOZGCW · pith_short_8: VHVHEHNX

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/VHVHEHNXJLQOZGCWKHVK25KQW4 \
  | 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: a9ea721db74ae0ec985651eaad7550b72e75f968bfb68de96addfdada446390c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75510fc9f3b38f0027cbf3673288f0e6e70286fea52c32093773c765ebbd4a12",
    "cross_cats_sorted": [
      "math.CV",
      "math.GT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-08-24T09:37:58Z",
    "title_canon_sha256": "35327eb7ef7ea37a0461686232b420cb19f9eb7d35feed965b43d99e6b87f0d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3995",
    "kind": "arxiv",
    "version": 7
  }
}