Pith Number

pith:XQ3XFHES

pith:2017:XQ3XFHESWJEKRDCF4FU4LXV4TE

not attested not anchored not stored refs pending

The works of William Rowan Hamilton in geometrical optics and the Malus-Dupin theorem

Charles-Michel Marle

arxiv:1702.05643 v1 · 2017-02-18 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQ3XFHESWJEKRDCF4FU4LXV4TE}

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	2026-05-18T00:50:25.870201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc37729c92b248a88c45e169c5debc99178cd852676d2a157dace860ba50866c

Aliases

arxiv: 1702.05643 · arxiv_version: 1702.05643v1 · doi: 10.48550/arxiv.1702.05643 · pith_short_12: XQ3XFHESWJEK · pith_short_16: XQ3XFHESWJEKRDCF · pith_short_8: XQ3XFHES

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/XQ3XFHESWJEKRDCF4FU4LXV4TE \
  | 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: bc37729c92b248a88c45e169c5debc99178cd852676d2a157dace860ba50866c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccea8a998c5823208e5c8698db3093244625f38b0d1499a40472fe62aba6bc99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-02-18T18:38:25Z",
    "title_canon_sha256": "3f5776cfcbd66fd1afaa28ca77bbb63d76d318f51b1be1e3621aaf71cce131d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.05643",
    "kind": "arxiv",
    "version": 1
  }
}