Pith Number

pith:V3U4RYUH

pith:2016:V3U4RYUHJROB623TLCB4HJVIPD

not attested not anchored not stored refs pending

Learning through experimenting: an original way of teaching geometrical optics

C. Balland, C. Even, V. Guillet

arxiv:1609.07906 v1 · 2016-09-26 · physics.ed-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V3U4RYUHJROB623TLCB4HJVIPD}

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	2026-05-18T01:00:33.406621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aee9c8e2874c5c1f6b735883c3a6a878cd0a21a0407fc3d945c893b9f2252d67

Aliases

arxiv: 1609.07906 · arxiv_version: 1609.07906v1 · doi: 10.48550/arxiv.1609.07906 · pith_short_12: V3U4RYUHJROB · pith_short_16: V3U4RYUHJROB623T · pith_short_8: V3U4RYUH

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/V3U4RYUHJROB623TLCB4HJVIPD \
  | 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: aee9c8e2874c5c1f6b735883c3a6a878cd0a21a0407fc3d945c893b9f2252d67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "402ac044792beaada3f21e0cf84b63042be62521fb019d89d11e93d514168967",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.ed-ph",
    "submitted_at": "2016-09-26T09:52:37Z",
    "title_canon_sha256": "a8e596d41d7fee6a9aa4155fbfed8f1fc48c77de26974c526ad42b311227d8ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07906",
    "kind": "arxiv",
    "version": 1
  }
}