Pith Number

pith:S5MA4C3O

pith:2012:S5MA4C3O7LWSBG3XRY47P2VE5K

not attested not anchored not stored refs pending

Shock wave in Euler - Heisenberg - K\"ockel nonlinear vacuum

Daniela A. Georgieva, Kamen L. Kovachev, Lubomir M. Kovachev

arxiv:1208.3616 v3 · 2012-08-17 · physics.optics · math-ph · math.MP · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S5MA4C3O7LWSBG3XRY47P2VE5K}

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	2026-05-18T01:55:09.752574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97580e0b6efaed209b778e39f7eaa4eab518f3c5a03556cc5739f7e4e090a10a

Aliases

arxiv: 1208.3616 · arxiv_version: 1208.3616v3 · doi: 10.48550/arxiv.1208.3616 · pith_short_12: S5MA4C3O7LWS · pith_short_16: S5MA4C3O7LWSBG3X · pith_short_8: S5MA4C3O

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/S5MA4C3O7LWSBG3XRY47P2VE5K \
  | 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: 97580e0b6efaed209b778e39f7eaa4eab518f3c5a03556cc5739f7e4e090a10a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d6867b456daa8fc0f7a60657a4c5e8775353ce3843c3364ce19b7f1c807a6d3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-08-17T15:22:58Z",
    "title_canon_sha256": "08c4a92ff7909d3bc1ab30d4c7215b26012b641b3d04435305d5fa58c182b5a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3616",
    "kind": "arxiv",
    "version": 3
  }
}