Pith Number

pith:VT72DQ5W

pith:2020:VT72DQ5WHG7WMJOZLCYBUYGVRP

not attested not anchored not stored refs pending

The Dekel-Zhao profile: A mass-dependent dark-matter density profile with flexible inner slope and analytic potential, velocity dispersion, and lensing properties

Aaron A. Dutton, Andrea V. Macci\`o, Avishai Dekel, Fangzhou Jiang, Jonathan Freundlich, Nicolas Cornuault, Omry Ginzburg, R\'emy Koskas, Sharon Lapiner

arxiv:2004.08395 v3 · 2020-04-17 · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VT72DQ5WHG7WMJOZLCYBUYGVRP}

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	2026-07-05T01:46:50.992439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acffa1c3b639bf6625d958b01a60d58be52c607f41848ff28d010f35ce898e3a

Aliases

arxiv: 2004.08395 · arxiv_version: 2004.08395v3 · doi: 10.48550/arxiv.2004.08395 · pith_short_12: VT72DQ5WHG7W · pith_short_16: VT72DQ5WHG7WMJOZ · pith_short_8: VT72DQ5W

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/VT72DQ5WHG7WMJOZLCYBUYGVRP \
  | 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: acffa1c3b639bf6625d958b01a60d58be52c607f41848ff28d010f35ce898e3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a406b1ea2dd41f00ae8011b00d38058facb96ac2fa244cb3860788648ba814c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2020-04-17T18:00:01Z",
    "title_canon_sha256": "9e671f430adabc154291c6b16e65fda6371da5fea47f9313de9fb73f081cfc56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.08395",
    "kind": "arxiv",
    "version": 3
  }
}