Pith Number

pith:YSFO5JNA

pith:2011:YSFO5JNAEYRB4ILM5IGBYBIHSS

not attested not anchored not stored refs pending

Consistent formalism for the momentum of electromagnetic waves in lossless dispersive metamaterials and the conservation of momentum

Jianqi Shen, Sailing He, Yingran He

arxiv:1103.3973 v1 · 2011-03-21 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YSFO5JNAEYRB4ILM5IGBYBIHSS}

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	2026-05-18T04:26:22.034920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c48aeea5a026221e216cea0c1c0507948d106937d6cc442ff51db5493b5300d1

Aliases

arxiv: 1103.3973 · arxiv_version: 1103.3973v1 · doi: 10.48550/arxiv.1103.3973 · pith_short_12: YSFO5JNAEYRB · pith_short_16: YSFO5JNAEYRB4ILM · pith_short_8: YSFO5JNA

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/YSFO5JNAEYRB4ILM5IGBYBIHSS \
  | 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: c48aeea5a026221e216cea0c1c0507948d106937d6cc442ff51db5493b5300d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53867d5caec0a6392fb6733774fe9d3517a763cca279d1eb985b819e292cb3e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-03-21T11:16:05Z",
    "title_canon_sha256": "bfa018bff1b88ac6802148b3e220adf5426650c8ccda12f4952b52795c2611c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3973",
    "kind": "arxiv",
    "version": 1
  }
}