Pith Number

pith:I2J5ROYK

pith:2021:I2J5ROYKXHHAXWBMJQ5XWGIKLQ

not attested not anchored not stored refs pending

Cluster density slopes from Dark Matter-Baryons Energy Transfer

Antonino Del Popolo, Maksym Deliyergiyev, Morgan Le Delliou

arxiv:2108.07447 v1 · 2021-08-17 · astro-ph.GA · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I2J5ROYKXHHAXWBMJQ5XWGIKLQ}

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	2026-07-05T03:06:39.055600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4693d8bb0ab9ce0bd82c4c3b7b190a5c05130e19c070ca0bed7858d172a9b24a

Aliases

arxiv: 2108.07447 · arxiv_version: 2108.07447v1 · doi: 10.48550/arxiv.2108.07447 · pith_short_12: I2J5ROYKXHHA · pith_short_16: I2J5ROYKXHHAXWBM · pith_short_8: I2J5ROYK

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/I2J5ROYKXHHAXWBMJQ5XWGIKLQ \
  | 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: 4693d8bb0ab9ce0bd82c4c3b7b190a5c05130e19c070ca0bed7858d172a9b24a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dbd65af6b4234c9ba171b9e03bcc2cf41205106fc6d133bfeb23170b77271f6",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2021-08-17T05:00:41Z",
    "title_canon_sha256": "197897e33cdf853cef3e914dc0ee4041cafcaddef74789a712541a6c60010187"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.07447",
    "kind": "arxiv",
    "version": 1
  }
}