Pith Number

pith:HPDLTZP6

pith:2010:HPDLTZP6WTYJZ6RM3FI73TYNWY

not attested not anchored not stored refs pending

Effective dynamicsof a coupled microscopic-macroscopic stochastic system

Daomin Cao, Hongbo Fu, Jian Ren, Jinqiao Duan

arxiv:1011.2909 v1 · 2010-11-12 · 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{HPDLTZP6WTYJZ6RM3FI73TYNWY}

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	2026-05-18T04:36:07.880679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bc6b9e5feb4f09cfa2cd951fdcf0db6131e4c3b0924be8b9e143b83a9460135

Aliases

arxiv: 1011.2909 · arxiv_version: 1011.2909v1 · doi: 10.48550/arxiv.1011.2909 · pith_short_12: HPDLTZP6WTYJ · pith_short_16: HPDLTZP6WTYJZ6RM · pith_short_8: HPDLTZP6

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/HPDLTZP6WTYJZ6RM3FI73TYNWY \
  | 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: 3bc6b9e5feb4f09cfa2cd951fdcf0db6131e4c3b0924be8b9e143b83a9460135

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d76e6d866de56583323024ba2ccc67bd69842e3fd8c6a8a49c31e650398d940b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-11-12T13:49:32Z",
    "title_canon_sha256": "8ee319d5edfd78160395c2eede011447cedfe883cc648c43466b6b59e1acc6e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2909",
    "kind": "arxiv",
    "version": 1
  }
}