Pith Number

pith:RZUI72QQ

pith:2016:RZUI72QQNTY34PU7Q566KXXGYF

not attested not anchored not stored refs pending

Generalized multi-polytropic Rankine-Hugoniot relations and the entropy condition

Christian R\"oken, Hans J\"org Fahr, Horst Fichtner, Jens Kleimann, Klaus Scherer

arxiv:1610.04381 v1 · 2016-10-14 · 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{RZUI72QQNTY34PU7Q566KXXGYF}

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	2026-05-18T00:55:07.100850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e688fea106cf1be3e9f877de55ee6c155f2fe20f7db70fa10169c7214a61ab1

Aliases

arxiv: 1610.04381 · arxiv_version: 1610.04381v1 · doi: 10.48550/arxiv.1610.04381 · pith_short_12: RZUI72QQNTY3 · pith_short_16: RZUI72QQNTY34PU7 · pith_short_8: RZUI72QQ

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/RZUI72QQNTY34PU7Q566KXXGYF \
  | 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: 8e688fea106cf1be3e9f877de55ee6c155f2fe20f7db70fa10169c7214a61ab1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72d8e1f84b5b48967a7472ddc3741930448b07be8b11c16bd8bbce7d45df2513",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.SR",
    "submitted_at": "2016-10-14T09:33:29Z",
    "title_canon_sha256": "9b9bd6d76541a8b755a6038df0287f00db86a89a9f3173a23d7f3590a44c3a8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04381",
    "kind": "arxiv",
    "version": 1
  }
}