Pith Number

pith:NTLL5HBF

pith:2011:NTLL5HBFZT2SMM7XPNJJFUXEFX

not attested not anchored not stored refs pending

Corrugation instabilities of the Riemann problem in relativistic hydrodynamics

Patryk Mach

arxiv:1104.3751 v1 · 2011-04-19 · math-ph · astro-ph.HE · gr-qc · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NTLL5HBFZT2SMM7XPNJJFUXEFX}

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	2026-05-18T02:02:22.771264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cd6be9c25ccf52633f77b5292d2e42dfd1f0f962f3cd79f3770f0d9ce1ec665

Aliases

arxiv: 1104.3751 · arxiv_version: 1104.3751v1 · doi: 10.48550/arxiv.1104.3751 · pith_short_12: NTLL5HBFZT2S · pith_short_16: NTLL5HBFZT2SMM7X · pith_short_8: NTLL5HBF

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/NTLL5HBFZT2SMM7XPNJJFUXEFX \
  | 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: 6cd6be9c25ccf52633f77b5292d2e42dfd1f0f962f3cd79f3770f0d9ce1ec665

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96ad79716737bc37b3fc41365ac89ce9064041bbf128658848263ffbc6e22de7",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "gr-qc",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-04-19T14:01:01Z",
    "title_canon_sha256": "9a0b5ab0c9ba6bc41d07af29c3fd65711fbb2151244e58e1c0f7e63840add36c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3751",
    "kind": "arxiv",
    "version": 1
  }
}