Pith Number

pith:TVGKYO4D

pith:2005:TVGKYO4D7Z667YWBDEHT5RXKKM

not attested not anchored not stored refs pending

Riemann Invariants and Rank-k Solutions of Hyperbolic Systems

A.M. Grundland, B. Huard

arxiv:math-ph/0511061 v1 · 2005-11-18 · math-ph · 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{TVGKYO4D7Z667YWBDEHT5RXKKM}

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	2026-05-18T01:38:32.985598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d4cac3b83fe7defe2c1190f3ec6ea5313c6328df91327a101ac45d3e9f2b9cc

Aliases

arxiv: math-ph/0511061 · arxiv_version: math-ph/0511061v1 · doi: 10.48550/arxiv.math-ph/0511061 · pith_short_12: TVGKYO4D7Z66 · pith_short_16: TVGKYO4D7Z667YWB · pith_short_8: TVGKYO4D

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/TVGKYO4D7Z667YWBDEHT5RXKKM \
  | 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: 9d4cac3b83fe7defe2c1190f3ec6ea5313c6328df91327a101ac45d3e9f2b9cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21745ba0e6528b3d3363413e2a6361b6e65a493d15fca7d95f4b74c17e34f50b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-11-18T20:31:15Z",
    "title_canon_sha256": "193ed41bc381d6bc61383aa928accefa9c72d8b37855e87af7725f70cfccc428"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0511061",
    "kind": "arxiv",
    "version": 1
  }
}