Pith Number

pith:XW4FVPDD

pith:2012:XW4FVPDD56SKGUXM3U3BOYPY2O

not attested not anchored not stored refs pending

Viscous regularization of the Euler equations and entropy principles

Bojan Popov, Jean-Luc Guermond

arxiv:1212.5566 v1 · 2012-12-21 · math-ph · 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{XW4FVPDD56SKGUXM3U3BOYPY2O}

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	2026-05-18T03:37:54.020333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdb85abc63efa4a352ecdd361761f8d38d7673de8e3856e1f5bc75ca19657674

Aliases

arxiv: 1212.5566 · arxiv_version: 1212.5566v1 · doi: 10.48550/arxiv.1212.5566 · pith_short_12: XW4FVPDD56SK · pith_short_16: XW4FVPDD56SKGUXM · pith_short_8: XW4FVPDD

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/XW4FVPDD56SKGUXM3U3BOYPY2O \
  | 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: bdb85abc63efa4a352ecdd361761f8d38d7673de8e3856e1f5bc75ca19657674

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "981f228f1f1b3005783947f92c835904805999727c2efe12866318cbf0f55698",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-21T19:18:45Z",
    "title_canon_sha256": "802d55be6783fa26b6b59e8ca9400f702378c7c1a62cb826580826f19dda05ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5566",
    "kind": "arxiv",
    "version": 1
  }
}