Pith Number

pith:7HHAGJEV

pith:2010:7HHAGJEVTW6KFUGLVAACXSJFDL

not attested not anchored not stored refs pending

On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements

Henrik Sandberg, Jean-Charles Delvenne, John C. Doyle

arxiv:1009.2830 v1 · 2010-09-15 · math.DS · math.OC · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7HHAGJEVTW6KFUGLVAACXSJFDL}

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	2026-05-18T00:58:19.385487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9ce0324959dbca2d0cba8002bc9251ac28a99c8b0a56dc3e795d3d83f9d0a39

Aliases

arxiv: 1009.2830 · arxiv_version: 1009.2830v1 · doi: 10.48550/arxiv.1009.2830 · pith_short_12: 7HHAGJEVTW6K · pith_short_16: 7HHAGJEVTW6KFUGL · pith_short_8: 7HHAGJEV

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/7HHAGJEVTW6KFUGLVAACXSJFDL \
  | 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: f9ce0324959dbca2d0cba8002bc9251ac28a99c8b0a56dc3e795d3d83f9d0a39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7574af7f3fa68994b6d1479cecf6b7107df9e443a94101a122fc31c3c2ace020",
    "cross_cats_sorted": [
      "math.OC",
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-09-15T04:12:29Z",
    "title_canon_sha256": "2b566c3cf949ce5bef21305ab743213da766b53b5586d1e12e4adc398c58ec62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2830",
    "kind": "arxiv",
    "version": 1
  }
}