Pith Number

pith:54ZQDJO6

pith:2025:54ZQDJO6PTYCT55NQURYIHPPPQ

not attested not anchored not stored refs pending

Density jump as a function of the field for parallel relativistic collisionless shocks

Antoine Bret, Ramesh Narayan

arxiv:2506.07973 v1 · 2025-06-09 · physics.plasm-ph · astro-ph.HE · astro-ph.SR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{54ZQDJO6PTYCT55NQURYIHPPPQ}

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	2026-07-05T11:18:36.453477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef3301a5de7cf029f7ad8523841def7c302184ed98d6ce9d35b1c3dfc2b4cdbc

Aliases

arxiv: 2506.07973 · arxiv_version: 2506.07973v1 · doi: 10.48550/arxiv.2506.07973 · pith_short_12: 54ZQDJO6PTYC · pith_short_16: 54ZQDJO6PTYCT55N · pith_short_8: 54ZQDJO6

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/54ZQDJO6PTYCT55NQURYIHPPPQ \
  | 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: ef3301a5de7cf029f7ad8523841def7c302184ed98d6ce9d35b1c3dfc2b4cdbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23689f67ce77a59cb41da77d3ba23e0eb72368ab657f9581d3b852102deef5a0",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "astro-ph.SR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.plasm-ph",
    "submitted_at": "2025-06-09T17:48:12Z",
    "title_canon_sha256": "fc7980e355bfac54c7c444b1894c471bf597bcbf4a48d0e0af46c54669b4604a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07973",
    "kind": "arxiv",
    "version": 1
  }
}