Pith Number

pith:NOVPKUAF

pith:2012:NOVPKUAFJJ722MYDXJPKMOLXK3

not attested not anchored not stored refs pending

On the M\"uller paradox for thermal-incompressible media

Augusto Muracchini (CIRAM), Henri Gouin (M2P2), Tommaso Ruggeri (CIRAM)

arxiv:1211.1210 v1 · 2012-11-06 · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NOVPKUAFJJ722MYDXJPKMOLXK3}

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	2026-05-18T03:41:22.048206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6baaf550054a7fad3303ba5ea6397756e531b5cc3796ae633373655afe4b5bcc

Aliases

arxiv: 1211.1210 · arxiv_version: 1211.1210v1 · doi: 10.48550/arxiv.1211.1210 · pith_short_12: NOVPKUAFJJ72 · pith_short_16: NOVPKUAFJJ722MYD · pith_short_8: NOVPKUAF

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/NOVPKUAFJJ722MYDXJPKMOLXK3 \
  | 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: 6baaf550054a7fad3303ba5ea6397756e531b5cc3796ae633373655afe4b5bcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "480683e5df2cdf35ce18a3683b70bc234745eab01723119420e7fc5756f0f662",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2012-11-06T13:12:37Z",
    "title_canon_sha256": "dede5104a9d4bdf54d8d45b2e74fa6ca132f647b5b36c86e464e00e5ddbe225d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1210",
    "kind": "arxiv",
    "version": 1
  }
}