Pith Number

pith:3MLFFBVR

pith:2010:3MLFFBVRMHYZTCDKNYYKQEI3EU

not attested not anchored not stored refs pending

Why many theories of shock waves are necessary. Kinetic relations for nonconservative systems

Christophe Berthon, Fr\'ed\'eric Coquel, Philippe G. LeFloch

arxiv:1006.1102 v2 · 2010-06-06 · math.AP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3MLFFBVRMHYZTCDKNYYKQEI3EU}

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	2026-05-18T04:25:28.339771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db165286b161f199886a6e30a8111b250c73f42bd954591da08fd357e579cd31

Aliases

arxiv: 1006.1102 · arxiv_version: 1006.1102v2 · doi: 10.48550/arxiv.1006.1102 · pith_short_12: 3MLFFBVRMHYZ · pith_short_16: 3MLFFBVRMHYZTCDK · pith_short_8: 3MLFFBVR

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/3MLFFBVRMHYZTCDKNYYKQEI3EU \
  | 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: db165286b161f199886a6e30a8111b250c73f42bd954591da08fd357e579cd31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09520f2aefa87f51e64aefce67bd436587100b67fc435d9ae04fa476cf306c3c",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-06-06T13:46:49Z",
    "title_canon_sha256": "a3e22c5468a801d4deedc7a3022534492b3df4907d626b33cf29ff643b3de704"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1102",
    "kind": "arxiv",
    "version": 2
  }
}