Pith Number

pith:J2NDEDR7

pith:2026:J2NDEDR73FW7ZRC33Q565P3BRB

not attested not anchored not stored refs pending

Geometric Approach to Quantum Theory. L-functionals

Albert Schwarz

arxiv:2607.17566 v1 · 2026-07-20 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J2NDEDR73FW7ZRC33Q565P3BRB}

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	2026-07-21T01:21:52.537642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e9a320e3fd96dfcc45bdc3beebf61886db5b2244ac10ad2ae021acbe551fdf4

Aliases

arxiv: 2607.17566 · arxiv_version: 2607.17566v1 · doi: 10.48550/arxiv.2607.17566 · pith_short_12: J2NDEDR73FW7 · pith_short_16: J2NDEDR73FW7ZRC3 · pith_short_8: J2NDEDR7

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/J2NDEDR73FW7ZRC33Q565P3BRB \
  | 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: 4e9a320e3fd96dfcc45bdc3beebf61886db5b2244ac10ad2ae021acbe551fdf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "707e91515cdbf9b9a7b6c69c77bc3f433804201f82b2167fde12d3a2e57498d5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-20T05:24:06Z",
    "title_canon_sha256": "e3c39ff2bcbcceea19a3ffd878d722236e2a1565e179f56b4fcb17078c46bc2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17566",
    "kind": "arxiv",
    "version": 1
  }
}