Pith Number

pith:TRV2FIC4

pith:2015:TRV2FIC4TA4QHL2AK7LLRJB2YO

not attested not anchored not stored refs pending

Quantifying substructures in {\it Hubble Frontier Field} clusters: comparison with $\Lambda CDM$ simulations

Irshad Mohammed, Jori Liesenborgs, Kevin Sebesta, Liliya L. R. Williams, Prasenjit Saha

arxiv:1507.01532 v2 · 2015-07-06 · 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{TRV2FIC4TA4QHL2AK7LLRJB2YO}

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	2026-05-18T01:16:18.539190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c6ba2a05c983903af4057d6b8a43ac38d737b08840f28fe27e9ddd2b504c8f5

Aliases

arxiv: 1507.01532 · arxiv_version: 1507.01532v2 · doi: 10.48550/arxiv.1507.01532 · pith_short_12: TRV2FIC4TA4Q · pith_short_16: TRV2FIC4TA4QHL2A · pith_short_8: TRV2FIC4

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/TRV2FIC4TA4QHL2AK7LLRJB2YO \
  | 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: 9c6ba2a05c983903af4057d6b8a43ac38d737b08840f28fe27e9ddd2b504c8f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57e61f893de7bc5ce46e93c18549e6dc9ba51fc5c4fd158817798d0662100aeb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-07-06T16:37:51Z",
    "title_canon_sha256": "c769b842988a75bb0975f5d77104b1b31b173ea86506f0efb60d2d1f896bf057"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01532",
    "kind": "arxiv",
    "version": 2
  }
}