Pith Number

pith:Q75QZ5O2

pith:2016:Q75QZ5O23ZYLTEC7CQNU2TXCIA

not attested not anchored not stored refs pending

On the solution of Liouville equation

Pietro Menotti

arxiv:1610.09669 v1 · 2016-10-30 · math-ph · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q75QZ5O23ZYLTEC7CQNU2TXCIA}

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	2026-05-18T00:35:24.392373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87fb0cf5dade70b9905f141b4d4ee2403c93fde634d70281326075dc6a810c19

Aliases

arxiv: 1610.09669 · arxiv_version: 1610.09669v1 · doi: 10.48550/arxiv.1610.09669 · pith_short_12: Q75QZ5O23ZYL · pith_short_16: Q75QZ5O23ZYLTEC7 · pith_short_8: Q75QZ5O2

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/Q75QZ5O23ZYLTEC7CQNU2TXCIA \
  | 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: 87fb0cf5dade70b9905f141b4d4ee2403c93fde634d70281326075dc6a810c19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "174ed8f2a79c0f9251638c42b6f0b5ee8d781fa111757ead7c3a597f633f88fc",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-10-30T16:18:15Z",
    "title_canon_sha256": "4dba4307f68ed9cf17e2b815eed696bb4157303949e2483aec7cf8f9ab15d7f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09669",
    "kind": "arxiv",
    "version": 1
  }
}