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Pith Number

pith:54R7QKIE

pith:2012:54R7QKIEISUD4D6ESZ7KO2BYYG
not attested not anchored not stored refs pending

A derivation of (half) the dark matter distribution function

Martin Sparre, Steen H. Hansen

arxiv:1206.5306 v1 · 2012-06-22 · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{54R7QKIEISUD4D6ESZ7KO2BYYG}

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 2026-05-18T01:56:42.982731Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ef23f8290444a83e0fc4967ea76838c18eaf8c564f1764b4a2c8b342439f960a

Aliases

arxiv: 1206.5306 · arxiv_version: 1206.5306v1 · doi: 10.48550/arxiv.1206.5306 · pith_short_12: 54R7QKIEISUD · pith_short_16: 54R7QKIEISUD4D6E · pith_short_8: 54R7QKIE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/54R7QKIEISUD4D6ESZ7KO2BYYG \
  | 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: ef23f8290444a83e0fc4967ea76838c18eaf8c564f1764b4a2c8b342439f960a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ed86434ee01fee3cffb7b708ee497c5296859ced6367f1112ef8c3c0ec6747a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-06-22T20:00:05Z",
    "title_canon_sha256": "c699d3a04097bce320f5a44d10e78ab0f8ba33c9d0449d94b848271aec481053"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5306",
    "kind": "arxiv",
    "version": 1
  }
}