Pith Number

pith:VETSYW6X

pith:2007:VETSYW6X62E53PKKSQ25ANOO23

not attested not anchored not stored refs pending

Why many theories of shock waves are necessary. Kinetic functions, equivalent equations, and fourth-order models

Majid Mohammadian, Philippe G. LeFloch

arxiv:0712.3810 v1 · 2007-12-21 · math.NA · cs.NA · math.AP · 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{VETSYW6X62E53PKKSQ25ANOO23}

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	2026-06-03T22:06:03.805401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9272c5bd7f689ddbd4a9435d035ced6f1a3fba4d8f8d9e06761a2d861661d9e

Aliases

arxiv: 0712.3810 · arxiv_version: 0712.3810v1 · doi: 10.48550/arxiv.0712.3810 · pith_short_12: VETSYW6X62E5 · pith_short_16: VETSYW6X62E53PKK · pith_short_8: VETSYW6X

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/VETSYW6X62E53PKKSQ25ANOO23 \
  | 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: a9272c5bd7f689ddbd4a9435d035ced6f1a3fba4d8f8d9e06761a2d861661d9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a5fd370393383528257cbe2a80cb1b5bd1147afbba27965445423f87deea96f",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP",
      "physics.flu-dyn"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2007-12-21T22:33:58Z",
    "title_canon_sha256": "d909f8719f093fc86e32d5006f13fef7cea19dd3dac26fd7d7ea53578b94bc3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.3810",
    "kind": "arxiv",
    "version": 1
  }
}