Pith Number

pith:Y2UBIUPL

pith:2019:Y2UBIUPLGHOQ5SJANT3K4CDQSD

not attested not anchored not stored refs pending

Lectures on Quantum Mechanics for mathematicians

Alexander Komech

arxiv:1907.05786 v2 · 2019-07-12 · math-ph · math.MP · quant-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{Y2UBIUPLGHOQ5SJANT3K4CDQSD}

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	2026-05-17T23:40:38.463452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6a81451eb31dd0ec9206cf6ae087090ead9875657f501db42903d7742108257

Aliases

arxiv: 1907.05786 · arxiv_version: 1907.05786v2 · doi: 10.48550/arxiv.1907.05786 · pith_short_12: Y2UBIUPLGHOQ · pith_short_16: Y2UBIUPLGHOQ5SJA · pith_short_8: Y2UBIUPL

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/Y2UBIUPLGHOQ5SJANT3K4CDQSD \
  | 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: c6a81451eb31dd0ec9206cf6ae087090ead9875657f501db42903d7742108257

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5ff7e4d1d9ef08ece5e252bb14e682fb20995fa9fed8524e60d963f274d6d8e",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-07-12T15:19:26Z",
    "title_canon_sha256": "0f609b8a821f0eee9e054187db5312aaec4279accaf95f55a46f3cd102a4449a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05786",
    "kind": "arxiv",
    "version": 2
  }
}