Pith Number

pith:QHRY5EGS

pith:2009:QHRY5EGSTW65YMJHDG3VRWIVIK

not attested not anchored not stored refs pending

Four Poynting Theorems

Alberto Favaro, Martin W. McCall, Paul Kinsler

arxiv:0908.1721 v4 · 2009-08-12 · 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{QHRY5EGSTW65YMJHDG3VRWIVIK}

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	2026-05-18T00:59:59.444997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81e38e90d29dbddc312719b758d915428c3acc861f61a0b936b4219d0b5f41c1

Aliases

arxiv: 0908.1721 · arxiv_version: 0908.1721v4 · doi: 10.48550/arxiv.0908.1721 · pith_short_12: QHRY5EGSTW65 · pith_short_16: QHRY5EGSTW65YMJH · pith_short_8: QHRY5EGS

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/QHRY5EGSTW65YMJHDG3VRWIVIK \
  | 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: 81e38e90d29dbddc312719b758d915428c3acc861f61a0b936b4219d0b5f41c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f4c75973e8454101065d2fa04f6dd9937d9d30048ad148b22c1aa5adda72159",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2009-08-12T14:49:17Z",
    "title_canon_sha256": "c9af8af04fb51f4b1abfae5f93b83acefe3fb7109e2a7021bff91fc3fdaa4f93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1721",
    "kind": "arxiv",
    "version": 4
  }
}