Pith Number

pith:2X3JE3B6

pith:2008:2X3JE3B6AW3GTJ6AFPN536VJ3Y

not attested not anchored not stored refs pending

Why many theories of shock waves are necessary. Convergence error in formally path-consistent schemes

Carlos Par\'es, Manuel J. Castro, Mar\'ia Luz Mu\~noz-Ruiz, Philippe G. LeFloch

arxiv:0808.2065 v1 · 2008-08-14 · math.NA · cs.NA · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2X3JE3B6AW3GTJ6AFPN536VJ3Y}

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	2026-06-03T22:06:08.970165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5f6926c3e05b669a7c02bdbddfaa9de031d336c80b30ea1ec22ba875e8f05ac

Aliases

arxiv: 0808.2065 · arxiv_version: 0808.2065v1 · doi: 10.48550/arxiv.0808.2065 · pith_short_12: 2X3JE3B6AW3G · pith_short_16: 2X3JE3B6AW3GTJ6A · pith_short_8: 2X3JE3B6

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/2X3JE3B6AW3GTJ6AFPN536VJ3Y \
  | 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: d5f6926c3e05b669a7c02bdbddfaa9de031d336c80b30ea1ec22ba875e8f05ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1aec5efa8b385c35fe859b850b3eb2c901a881617873a40d8ccfb4955a79d6f0",
    "cross_cats_sorted": [
      "cs.NA",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2008-08-14T22:21:21Z",
    "title_canon_sha256": "7458db7ee954e5c18ca44ff2bdde5bebf71728056d7f856cb6a3785826ea59e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.2065",
    "kind": "arxiv",
    "version": 1
  }
}