Pith Number

pith:62P6KJIQ

pith:2009:62P6KJIQXDTWEQ6WR4K44FELFN

not attested not anchored not stored refs pending

The imprint of the interaction between dark sectors in galaxy clusters

Bin Wang, Diego Pavon, Elcio Abdalla, Jian-Hua He

arxiv:1001.0079 v2 · 2009-12-31 · gr-qc · astro-ph.CO · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{62P6KJIQXDTWEQ6WR4K44FELFN}

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	2026-05-18T02:24:45.276340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f69fe52510b8e76243d68f15ce148b2b4a2dae5987d16d007f3c141cd484ab76

Aliases

arxiv: 1001.0079 · arxiv_version: 1001.0079v2 · doi: 10.48550/arxiv.1001.0079 · pith_short_12: 62P6KJIQXDTW · pith_short_16: 62P6KJIQXDTWEQ6W · pith_short_8: 62P6KJIQ

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/62P6KJIQXDTWEQ6WR4K44FELFN \
  | 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: f69fe52510b8e76243d68f15ce148b2b4a2dae5987d16d007f3c141cd484ab76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c974950f6686000c5a236fbd03c3d12332ebe67b70826c8fc7922a16ad9e106",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-12-31T03:38:30Z",
    "title_canon_sha256": "f188941d91ca1206e44a51cf61c0073d416a835627ecab30879018293a6988f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0079",
    "kind": "arxiv",
    "version": 2
  }
}