Pith Number

pith:ZOO3SGBW

pith:2009:ZOO3SGBWNTJH4OI3SLHERT3GHM

not attested not anchored not stored refs pending

Family-independence for topological and measurable dynamics

Hanfeng Li, Wen Huang, Xiangdong Ye

arxiv:0908.0574 v2 · 2009-08-05 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZOO3SGBWNTJH4OI3SLHERT3GHM}

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	2026-05-18T03:52:26.735635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb9db918366cd27e391b92ce48cf663b2f4a9ed61a3f5e2035af071c365bca2e

Aliases

arxiv: 0908.0574 · arxiv_version: 0908.0574v2 · doi: 10.48550/arxiv.0908.0574 · pith_short_12: ZOO3SGBWNTJH · pith_short_16: ZOO3SGBWNTJH4OI3 · pith_short_8: ZOO3SGBW

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/ZOO3SGBWNTJH4OI3SLHERT3GHM \
  | 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: cb9db918366cd27e391b92ce48cf663b2f4a9ed61a3f5e2035af071c365bca2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a17e0e9e9b7e0a2cae749d3fead13c123e26ae2de4513972b7d3e92902156493",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-08-05T02:06:36Z",
    "title_canon_sha256": "589835fff13129ae83ca8943241b0e79f3fe19c4c530aaef0efeaa8c4fed3487"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.0574",
    "kind": "arxiv",
    "version": 2
  }
}