Pith Number

pith:L26XYOGK

pith:2020:L26XYOGKHMIHJA2RVWFXGMALU7

not attested not anchored not stored refs pending

Completing the quantum formalism in a contextually objective framework

Philippe Grangier

arxiv:2003.03121 v3 · 2020-03-06 · quant-ph · physics.hist-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{L26XYOGKHMIHJA2RVWFXGMALU7}

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.

Cited by

1 paper in Pith

Heading towards an Algebraic Heisenberg Cut

Receipt and verification

First computed	2026-07-05T03:44:49.496736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ebd7c38ca3b10748351ad8b73300ba7d6eb31a026818f9d184b32903628f424

Aliases

arxiv: 2003.03121 · arxiv_version: 2003.03121v3 · doi: 10.48550/arxiv.2003.03121 · pith_short_12: L26XYOGKHMIH · pith_short_16: L26XYOGKHMIHJA2R · pith_short_8: L26XYOGK

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/L26XYOGKHMIHJA2RVWFXGMALU7 \
  | 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: 5ebd7c38ca3b10748351ad8b73300ba7d6eb31a026818f9d184b32903628f424

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a7adb64474e3a816d13924788fa42d2a3bbe2319cfe40cb9bb1e3cb27d37f7d",
    "cross_cats_sorted": [
      "physics.hist-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2020-03-06T10:27:10Z",
    "title_canon_sha256": "9106de6ea37f10e1f799029c51a1cbb31228ccd2d7ec0efea002d66f9c9e1b92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.03121",
    "kind": "arxiv",
    "version": 3
  }
}