Pith Number

pith:KW33HLFW

pith:2010:KW33HLFWVRU2KTU4XFWWAL4ADC

not attested not anchored not stored refs pending

On the universality of the global slope -- anisotropy inequality

Emmanuel Van Hese, Herwig Dejonghe, Maarten Baes

arxiv:1010.4301 v1 · 2010-10-20 · astro-ph.CO · 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{KW33HLFWVRU2KTU4XFWWAL4ADC}

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	2026-05-18T02:05:00.381934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55b7b3acb6ac69a54e9cb96d602f80189564ae0f1429153653632594b1fe9739

Aliases

arxiv: 1010.4301 · arxiv_version: 1010.4301v1 · doi: 10.48550/arxiv.1010.4301 · pith_short_12: KW33HLFWVRU2 · pith_short_16: KW33HLFWVRU2KTU4 · pith_short_8: KW33HLFW

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/KW33HLFWVRU2KTU4XFWWAL4ADC \
  | 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: 55b7b3acb6ac69a54e9cb96d602f80189564ae0f1429153653632594b1fe9739

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51c0a77d0ba4c0187f4da2814910c73829a173a01499b119c9b88f0e3d4404fb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-10-20T20:00:00Z",
    "title_canon_sha256": "07123fd333025a00c61e6beb7769905a94b80f4be21dec84734be7f802874609"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4301",
    "kind": "arxiv",
    "version": 1
  }
}