Pith Number

pith:OKJVE5CK

pith:2026:OKJVE5CKCCGIYMD44N4S2BG3IM

not attested not anchored not stored refs pending

Merging galaxies and clusters: Insights into the role of magnetic fields and the physics of radio relics

Joseph Whittingham

arxiv:2607.14426 v1 · 2026-07-15 · astro-ph.GA · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OKJVE5CKCCGIYMD44N4S2BG3IM}

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	2026-07-17T00:21:11.869901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

729352744a108c8c307ce3792d04db4325df27e45e6a88d5f35d0a027bd7553f

Aliases

arxiv: 2607.14426 · arxiv_version: 2607.14426v1 · doi: 10.48550/arxiv.2607.14426 · pith_short_12: OKJVE5CKCCGI · pith_short_16: OKJVE5CKCCGIYMD4 · pith_short_8: OKJVE5CK

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/OKJVE5CKCCGIYMD44N4S2BG3IM \
  | 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: 729352744a108c8c307ce3792d04db4325df27e45e6a88d5f35d0a027bd7553f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b31ee0cc53301a6ec70a70f89b0dba9080d6694e21df914689e9e0a0bb43711a",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2026-07-15T23:28:39Z",
    "title_canon_sha256": "437b1eb3b5a39bfd5ebeb597607eb8b01cca84ff1096fad5e3785f2c54c8a50e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14426",
    "kind": "arxiv",
    "version": 1
  }
}