Pith Number

pith:ZPOETKVM

pith:2012:ZPOETKVMGHOOL5XITE346GHC4X

not attested not anchored not stored refs pending

A Thermodynamic Hypothesis Regarding Optimality Principles for Flow Processes in Geosystems

Hui-Hai Liu

arxiv:1212.3516 v5 · 2012-12-14 · physics.geo-ph · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPOETKVMGHOOL5XITE346GHC4X}

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	2026-05-18T03:32:44.458420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbdc49aaac31dce5f6e89937cf18e2e5ed4c4dc8e5d25335bf4837bc64024a0d

Aliases

arxiv: 1212.3516 · arxiv_version: 1212.3516v5 · doi: 10.48550/arxiv.1212.3516 · pith_short_12: ZPOETKVMGHOO · pith_short_16: ZPOETKVMGHOOL5XI · pith_short_8: ZPOETKVM

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/ZPOETKVMGHOOL5XITE346GHC4X \
  | 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: cbdc49aaac31dce5f6e89937cf18e2e5ed4c4dc8e5d25335bf4837bc64024a0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1967fc1e4fb07a033aea5976acc278ceca0178f6b5bd05e5a77da9edb637dec4",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.geo-ph",
    "submitted_at": "2012-12-14T16:29:36Z",
    "title_canon_sha256": "4515fcd473961ae841a80dff095e36a807a10775fae394d9185817f1feda8a14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3516",
    "kind": "arxiv",
    "version": 5
  }
}