Pith Number

pith:QRYFTBWV

pith:2014:QRYFTBWVKT6NMKXOOCBZRFELYU

not attested not anchored not stored refs pending

Waveguides with asymptotically diverging twisting

David Krejcirik

arxiv:1407.4028 v1 · 2014-07-15 · math.SP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QRYFTBWVKT6NMKXOOCBZRFELYU}

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	2026-05-18T02:18:01.359382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84705986d554fcd62aee708398948bc52c5d1932a3c4e708a05d3761faa09d8d

Aliases

arxiv: 1407.4028 · arxiv_version: 1407.4028v1 · doi: 10.48550/arxiv.1407.4028 · pith_short_12: QRYFTBWVKT6N · pith_short_16: QRYFTBWVKT6NMKXO · pith_short_8: QRYFTBWV

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/QRYFTBWVKT6NMKXOOCBZRFELYU \
  | 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: 84705986d554fcd62aee708398948bc52c5d1932a3c4e708a05d3761faa09d8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37b6682c5dd943d19c6df5e4d1541a181dec9f9068e02b5930fcc22b6e877edd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-07-15T15:46:08Z",
    "title_canon_sha256": "8e4cc4c5b465756fd83d3a1e54c063244f62407080c091cab77515e82158173c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4028",
    "kind": "arxiv",
    "version": 1
  }
}