Pith Number

pith:6PDTXHV3

pith:2011:6PDTXHV3OX5KTU3AN4UNO34VDT

not attested not anchored not stored refs pending

Basics of averaging of the Maxwell equations

A.Chipouline, C. Simovski, S. Tretyakov

arxiv:1106.3835 v1 · 2011-06-20 · physics.optics · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6PDTXHV3OX5KTU3AN4UNO34VDT}

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	2026-05-18T04:19:42.018533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3c73b9ebb75faa9d3606f28d76f951cc0048b68ae2291f004cfea7d5b82b566

Aliases

arxiv: 1106.3835 · arxiv_version: 1106.3835v1 · doi: 10.48550/arxiv.1106.3835 · pith_short_12: 6PDTXHV3OX5K · pith_short_16: 6PDTXHV3OX5KTU3A · pith_short_8: 6PDTXHV3

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/6PDTXHV3OX5KTU3AN4UNO34VDT \
  | 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: f3c73b9ebb75faa9d3606f28d76f951cc0048b68ae2291f004cfea7d5b82b566

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99794f28d35b0ce6704ee357583444f57e05b16efff8dc6787c9db81dede1ab8",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-06-20T08:09:58Z",
    "title_canon_sha256": "888f9f3cfb572cda5a13f808cd50a8d7a4876a66f0dd8408bd2e8c69e406fa7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3835",
    "kind": "arxiv",
    "version": 1
  }
}