Pith Number

pith:FEXJK7U2

pith:2014:FEXJK7U2HLN3NMAQMB5POZS532

not attested not anchored not stored refs pending

Three-dimensional nonparaxial accelerating beams from the transverse Whittaker integral

Changbiao Li, Haixia Chen, Huaibin Zheng, Milivoj R. Beli\'c, Yanpeng Zhang, Yiqi Zhang, Zhiguo Wang

arxiv:1406.2764 v1 · 2014-06-11 · 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{FEXJK7U2HLN3NMAQMB5POZS532}

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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	2026-05-18T02:45:22.981514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

292e957e9a3adbb6b010607af7665ddea3650aafa721db07d8df63a5ca066b16

Aliases

arxiv: 1406.2764 · arxiv_version: 1406.2764v1 · doi: 10.48550/arxiv.1406.2764 · pith_short_12: FEXJK7U2HLN3 · pith_short_16: FEXJK7U2HLN3NMAQ · pith_short_8: FEXJK7U2

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/FEXJK7U2HLN3NMAQMB5POZS532 \
  | 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: 292e957e9a3adbb6b010607af7665ddea3650aafa721db07d8df63a5ca066b16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c88c53f88db3ec6f0229d4db9a5b5d3b9fba3114fd797954d4b81fa4451f4f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2014-06-11T02:19:31Z",
    "title_canon_sha256": "076fb0dbf51efb773c77f18056508da8f1bf46bd73c1cf5819a246ef040c411d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.2764",
    "kind": "arxiv",
    "version": 1
  }
}