Pith Number

pith:4KUFBJPN

pith:2013:4KUFBJPNSOINGFM36PQKZHON7C

not attested not anchored not stored refs pending

Superpositions of Lorentzians as the class of causal functions

Christopher A. Dirdal, Johannes Skaar

arxiv:1307.7540 v2 · 2013-07-29 · 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{4KUFBJPNSOINGFM36PQKZHON7C}

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	2026-05-18T03:10:26.228209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2a850a5ed9390d3159bf3e0ac9dcdf8a580caab348977a3571840a47d777bfc

Aliases

arxiv: 1307.7540 · arxiv_version: 1307.7540v2 · doi: 10.48550/arxiv.1307.7540 · pith_short_12: 4KUFBJPNSOIN · pith_short_16: 4KUFBJPNSOINGFM3 · pith_short_8: 4KUFBJPN

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/4KUFBJPNSOINGFM36PQKZHON7C \
  | 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: e2a850a5ed9390d3159bf3e0ac9dcdf8a580caab348977a3571840a47d777bfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d29ca786bec0938d6c66b6bfc853eb48b4fc49ab12b67fa641ff9ed8dcaf85a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-07-29T11:08:18Z",
    "title_canon_sha256": "e05970c3d9ec70b2d91e36b9d139c47b2031f61c7d38d4a750a8f9a199d91b0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7540",
    "kind": "arxiv",
    "version": 2
  }
}