Pith Number

pith:PRYXOBH6

pith:2016:PRYXOBH6F5KUDDOGZ5UWBZGLTN

not attested not anchored not stored refs pending

Angular width of Cherenkov radiation with inclusion of multiple scattering: an path-integral approach

Jian Zheng

arxiv:1604.03657 v1 · 2016-04-13 · physics.optics · hep-ex

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRYXOBH6F5KUDDOGZ5UWBZGLTN}

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	2026-05-18T00:37:01.843402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c717704fe2f55418dc6cf6960e4cb9b69619c54a1b7f0901b9efd8d4dd4efb0

Aliases

arxiv: 1604.03657 · arxiv_version: 1604.03657v1 · doi: 10.48550/arxiv.1604.03657 · pith_short_12: PRYXOBH6F5KU · pith_short_16: PRYXOBH6F5KUDDOG · pith_short_8: PRYXOBH6

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/PRYXOBH6F5KUDDOGZ5UWBZGLTN \
  | 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: 7c717704fe2f55418dc6cf6960e4cb9b69619c54a1b7f0901b9efd8d4dd4efb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c444d1cab20ac92b917be392e1664fa4f3a6a2119653cd92d4444ceacb2fe71",
    "cross_cats_sorted": [
      "hep-ex"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-04-13T05:09:44Z",
    "title_canon_sha256": "38e0295147ffcb3039859d1d43078d275ea925c9e551262b8d447f258f9a6b79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03657",
    "kind": "arxiv",
    "version": 1
  }
}