pith. sign in
Pith Number

pith:7FBKIVN2

pith:2014:7FBKIVN2GAUYPPUDWMCIPMGW4K
not attested not anchored not stored refs pending

Multi-Symplectic Lagrangian, One-Dimensional Gas Dynamics

G. M. Webb

arxiv:1408.4028 v4 · 2014-08-18 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7FBKIVN2GAUYPPUDWMCIPMGW4K}

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 2026-05-18T02:04:10.808448Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f942a455ba302987be83b30487b0d6e2a305cc6adcbb74a3b11b3c2e8ef704cf

Aliases

arxiv: 1408.4028 · arxiv_version: 1408.4028v4 · doi: 10.48550/arxiv.1408.4028 · pith_short_12: 7FBKIVN2GAUY · pith_short_16: 7FBKIVN2GAUYPPUD · pith_short_8: 7FBKIVN2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7FBKIVN2GAUYPPUDWMCIPMGW4K \
  | 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: f942a455ba302987be83b30487b0d6e2a305cc6adcbb74a3b11b3c2e8ef704cf
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5bf447ccd7ddfd21e140fba8c18542842205280143bb83f746ab68c36dc6f8bb",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-08-18T14:54:59Z",
    "title_canon_sha256": "d4cb2f580d0f4c420602e6744765e6ea6e25c513be8a964debcba3af5bc3bb58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4028",
    "kind": "arxiv",
    "version": 4
  }
}