Pith Number

pith:MPGUWEWT

pith:2012:MPGUWEWTHHUEVYGIUEZLLOBKS4

not attested not anchored not stored refs pending

Matrix representation of the time operator

Carl M. Bender, M. Gianfreda

arxiv:1201.3838 v1 · 2012-01-18 · hep-th · 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{MPGUWEWTHHUEVYGIUEZLLOBKS4}

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	2026-05-18T01:58:47.261472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63cd4b12d339e84ae0c8a132b5b82a971e882903291139d177a9c173d531a753

Aliases

arxiv: 1201.3838 · arxiv_version: 1201.3838v1 · doi: 10.48550/arxiv.1201.3838 · pith_short_12: MPGUWEWTHHUE · pith_short_16: MPGUWEWTHHUEVYGI · pith_short_8: MPGUWEWT

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/MPGUWEWTHHUEVYGIUEZLLOBKS4 \
  | 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: 63cd4b12d339e84ae0c8a132b5b82a971e882903291139d177a9c173d531a753

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a3707209e32822979c239bc50391fbc4bc919d9e901a121944ba26be8fafa13",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-01-18T16:25:24Z",
    "title_canon_sha256": "e1f5a06e8c50c79970d7ab4bc293e9c94eb7cab9c90b0802ff28ba33b7be5e4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3838",
    "kind": "arxiv",
    "version": 1
  }
}