Pith Number

pith:FQHOM5Y5

pith:2013:FQHOM5Y5SEYUHHPJ5GSWEZHZD2

not attested not anchored not stored refs pending

A critical shock Mach number for particle acceleration in the absence of pre-existing cosmic rays: $M=\sqrt 5$

(1) Jacco Vink, (2) Dept. of Physics, (2) Ryo Yamazaki ((1) Anton Pannekoek Institute/GRAPPA, Aoyama Gakuin University, Japan), Mathematics, Netherlands, Sagamihara, University of Amsterdam

arxiv:1307.4754 v3 · 2013-07-17 · astro-ph.HE · astro-ph.CO · astro-ph.EP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FQHOM5Y5SEYUHHPJ5GSWEZHZD2}

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	2026-05-18T01:48:43.290446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c0ee6771d9131439de9e9a56264f91e8af23ead838ca3e99e4dc12e5f9ea49b

Aliases

arxiv: 1307.4754 · arxiv_version: 1307.4754v3 · doi: 10.48550/arxiv.1307.4754 · pith_short_12: FQHOM5Y5SEYU · pith_short_16: FQHOM5Y5SEYUHHPJ · pith_short_8: FQHOM5Y5

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/FQHOM5Y5SEYUHHPJ5GSWEZHZD2 \
  | 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: 2c0ee6771d9131439de9e9a56264f91e8af23ead838ca3e99e4dc12e5f9ea49b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fd69241ee97a83b28ff6d0564dcd0fb682d117a695956ec3bd24480e3cabdf4",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "astro-ph.EP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2013-07-17T20:00:01Z",
    "title_canon_sha256": "22d81083a6ec3b65e3b90622c95534968fc42c87c269fb5eb53e74234b11c48d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4754",
    "kind": "arxiv",
    "version": 3
  }
}