Pith Number

pith:MUOMG6GF

pith:2011:MUOMG6GFRRKMNXIFNDDM2V4KYD

not attested not anchored not stored refs pending

Global $\widetilde{SL(2,R)}$ representations of the Schr\"{o}dinger equation with time-dependent potentials

Jose Franco

arxiv:1104.3508 v1 · 2011-04-18 · math.RT · 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{MUOMG6GFRRKMNXIFNDDM2V4KYD}

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	2026-05-18T04:24:04.599770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

651cc378c58c54c6dd0568c6cd578ac0f0739cafaf062e05b04a3f9855f321de

Aliases

arxiv: 1104.3508 · arxiv_version: 1104.3508v1 · doi: 10.48550/arxiv.1104.3508 · pith_short_12: MUOMG6GFRRKM · pith_short_16: MUOMG6GFRRKMNXIF · pith_short_8: MUOMG6GF

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/MUOMG6GFRRKMNXIFNDDM2V4KYD \
  | 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: 651cc378c58c54c6dd0568c6cd578ac0f0739cafaf062e05b04a3f9855f321de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0710deee54e578f9536056ebc2f6d6639f99315d63eadc295d8082fc2c568aba",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-04-18T15:11:45Z",
    "title_canon_sha256": "7a32c27e744d58f49c95d2088eab21c42fd5a199ccbbe1c790b127e14d1a5cc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3508",
    "kind": "arxiv",
    "version": 1
  }
}