Pith Number

pith:HBDLNVHU

pith:2026:HBDLNVHUCAR7YMETSCW2Y4VVB7

not attested not anchored not stored refs pending

Notes from the Physics Teaching Lab: Optical Pumping

Kenneth G. Libbrecht

arxiv:2602.07699 v2 · 2026-02-07 · 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{HBDLNVHUCAR7YMETSCW2Y4VVB7}

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	2026-06-04T01:09:47.140660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3846b6d4f41023fc309390adac72b50fc20f2b021b7386ee74a9768b299e95b0

Aliases

arxiv: 2602.07699 · arxiv_version: 2602.07699v2 · doi: 10.48550/arxiv.2602.07699 · pith_short_12: HBDLNVHUCAR7 · pith_short_16: HBDLNVHUCAR7YMET · pith_short_8: HBDLNVHU

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/HBDLNVHUCAR7YMETSCW2Y4VVB7 \
  | 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: 3846b6d4f41023fc309390adac72b50fc20f2b021b7386ee74a9768b299e95b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1bbf3ed52cc25ba74beb4ab4ecd412d182365dce3611e029705f1e7ef37d102",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "physics.ed-ph",
    "submitted_at": "2026-02-07T20:48:50Z",
    "title_canon_sha256": "dcd2bb2a5c94465f87796749f1861500e414f0a512fa5c937db75e576b210cfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.07699",
    "kind": "arxiv",
    "version": 2
  }
}