Pith Number

pith:CUKG2HXO

pith:2026:CUKG2HXOJMM6CSVZSYQ7PT7RJH

not attested not anchored not stored refs pending

Evidence for a thermal pressure deficit in galaxy groups from the tSZ effect and weak lensing

Alexandra Amon, Eliot Quataert, Ian G. McCarthy, Jared Siegel, Jenny E. Greene, William Coulton

arxiv:2608.00164 v1 · 2026-07-31 · astro-ph.CO · 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{CUKG2HXOJMM6CSVZSYQ7PT7RJH}

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	2026-08-04T00:33:06.299707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15146d1eee4b19e14ab99621f7cff149e130ad406c7bfa5ffb2110a63869f47f

Aliases

arxiv: 2608.00164 · arxiv_version: 2608.00164v1 · doi: 10.48550/arxiv.2608.00164 · pith_short_12: CUKG2HXOJMM6 · pith_short_16: CUKG2HXOJMM6CSVZ · pith_short_8: CUKG2HXO

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/CUKG2HXOJMM6CSVZSYQ7PT7RJH \
  | 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: 15146d1eee4b19e14ab99621f7cff149e130ad406c7bfa5ffb2110a63869f47f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1b391bc9fa19f4988ffa8746a63aeca8ca484f89f14171b82c08ca6b19c10b2",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-07-31T18:00:01Z",
    "title_canon_sha256": "bc58fa3c013addfd87b37b176e552b52460146ab8e4986bd6836e83839c42eca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00164",
    "kind": "arxiv",
    "version": 1
  }
}