Pith Number

pith:TZLMBRYQ

pith:2026:TZLMBRYQAINIZKR3SGFVH6SE4T

not attested not anchored not stored refs pending

Minimum Virtual Proper Time and Finite Mass--Charge Matching in QED

Mustafa Bakr

arxiv:2606.22666 v1 · 2026-06-21 · math-ph · hep-th · 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{TZLMBRYQAINIZKR3SGFVH6SE4T}

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	2026-06-23T02:13:44.310061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e56c0c710021a8caa3b918b53fa44e4fd1b9325e6b6c61059b0bfb13d396bf4

Aliases

arxiv: 2606.22666 · arxiv_version: 2606.22666v1 · doi: 10.48550/arxiv.2606.22666 · pith_short_12: TZLMBRYQAINI · pith_short_16: TZLMBRYQAINIZKR3 · pith_short_8: TZLMBRYQ

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/TZLMBRYQAINIZKR3SGFVH6SE4T \
  | 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: 9e56c0c710021a8caa3b918b53fa44e4fd1b9325e6b6c61059b0bfb13d396bf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a0c4f640a11ba9a38dcd60a612858bf73a4f4d661d6b5c4fc5d9687e23be6ed",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-06-21T20:49:00Z",
    "title_canon_sha256": "070466b27b76c5b511cb0883340f4e36a87799137d2912be158b4b6ca28e2a2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22666",
    "kind": "arxiv",
    "version": 1
  }
}